This percent calculator is a tool that lets you carry out a simple calculation: what percent of X is Y? The device is nice straightforward. All you have to do is to fill in 2 fields, and also the third one will certainly be calculated for you automatically. This technique will enable you come answer the concern of exactly how to uncover a percent of 2 numbers. Furthermore, our portion calculator also permits you to carry out calculations in the contrary way, i.e., how to find a portion of a number. Try entering various values into the various fields and also see exactly how **quick and also easy-to-use** this handy tool is. Is just knowing exactly how to get a percent of a number is not sufficient for you? If you room looking for more extensive calculations, fight the **advanced mode** button under the calculator.

You are watching: What is 15% of 30 billion dollars

Other than being advantageous with discovering percentages and also fractions, this device is valuable in numerous different situations. Friend can find percentages in nearly **every aspect** of her life! Anyone that has ever before been to the purchase mall has surely seen dozens of signs with a big percentage symbol speak "*discount!*". And also this is just one of plenty of other examples of percentages. They frequently appear, e.g., in finance wherein we used them to discover an quantity of revenue tax or sales tax, or in wellness to to express what is her body fat. Keep analysis if you would prefer to see just how to find a portion of something, what the percentage formula is, and the applications that percentages in other areas of life, favor statistics or physics.

Here space a couple of calculators to solve connected problems:

## What is the percentage? - exactly how to discover the percent of something?

Percentage is one of numerous ways come express a dimensionless proportion of 2 numbers. It's an extremely popular because it deserve to describe situations that involve big numbers (e.g., estimating chances for to win the lottery), median (e.g., determining final grade of your course) and also very little ones (like volumetric relationship of NO₂ in the air, additionally frequently express by PPM - components per million).

**One percent is a hundredth.** together a percent sign, we commonly use %, however sometimes it is denoted through *pct*. It means that 5 percent is the very same as 5%, 5 pct, 0.05, 5/100, or five-hundredths. That is as basic as that, and also this portion calculator is a tool specialized to working with decimal fractions and percentages. If you're seeking more complicated problems, shot to number out just how to calculation the portion of a percentage.

This is every nice, however we usually carry out not use percents just by themselves. Mostly, we want to price **how large is one number in relationship to another number?**. To shot to visualize it, imagine the we have actually something anyone likes, because that example, a large packet of cookies (or donuts or chocolates, every little thing you like 😉 - we will stick come cookies). Let's try to find solution to the concern of what is **40% that 20**? the is 40 percentage percent of 20, therefore if we divided 20 cookies right into 100 also parts (good luck v that!), 40 of those parts would be 40% that 20 cookies. Let's execute the math: 40/100 * 20 = 8. A handy little tip: to division by 100, simply move the dot two spaces come the left. In ours calculation, 40/100 * 20 can be done together (40 * 20)/100 (it's the exact same thing). 40 * 20 is 800. By relocating the period in 800 by 2 digits to the left, you obtain 8.00, and when you remove all unnecessary zeros, **you acquire 8**. In our calculator, get in 40 and 20 (so that reads "40% of 20" is 8).

## How to find the portion of 2 numbers? - Cookies! 🍪

A percentage is likewise a way to express the **relation between two numbers together a portion of 100**. In other words, the percentage tells us how one number relates come another. If we understand that number A is 25% the number B, we understand that A to B is favor 25 is to 100, or, ~ one much more transformation, like 1 to 4, i.e., A is 4 times smaller sized than B. This is what the percentage calculator teaches; what is a percentage and how to discover a percentage of 2 numbers. The is essential and also practical knowledge. Why? Let's say that B represents the mass of a human being body or the mass of part air. Then, through denoting A as a massive of water, us can find out what is the full body water portion or family member humidity (used to calculation the dew allude of air).

How to find a percent of something? It's most basic to describe what is the percentage with cookies. The is surprising how regularly cookies save the day, right? to speak we have actually a huge drawer through 100 compartments (a 10 x 10 grid). Every compartment is one hundredth or 1% that the entirety drawer. Us then fill this drawer v cookies in a way that offers us specifically **the same number of cookies** in every compartment.

At first, let's begin with the most straightforward instance with **100 cookies**. How to obtain the percentage of several, let's say, 5 cookies? It's easy: every compartment gets exactly one cookie. Therefore **one percent of 100 is one cookie**, and also five percent is five cookies.

**400 cookies**! We're dividing them evenly, and also every compartment gets 4 cookies. Cookie look smaller, but in ours imagination, they room the same, simply the drawer is much bigger!

**One percent that 400 is 4**. How about 15 percent? It's 15 compartments times 4 cookies - 60 cookies. Our tummies begin to ache a little, but it has never stopped us indigenous eating an ext cookies! Now, something even harder -

**250 cookies**. Oh-oh, we separated up the an initial 200 cookies, placing 2 in every compartment. Currently we room left through 50 cookie that must be spread out evenly, hmmm, it's half a cookie in every box. How to calculate the percentage? friend are best - this time,

**1 percent of the total number of 250 cookie is 2.5**. How numerous do we have actually in 15 boxes? 2.5 * 15 is 37.5. So what is percentage an excellent for? as we composed earlier, a portion is a means to refer a ratio. Say you room taking a graded exam. If we told you that you gained 123 points, that really would not tell girlfriend anything.

**123 out of what?**Now, if us told you the you obtained

**82%**, this figure is more understandable information. Also if we told you, you got 123 out of 150; it's harder to feel exactly how well you did. A main earlier, there was an additional exam, and also you scored 195 the 250, or 78%. While it's difficult to to compare 128 that 150 to 195 that 250, it's simple to tell that 82% score is better than 78%. Isn't the percent sign helpful? after ~ all,

**it's the portion that counts**!

What around decimal fractions and percentages? **Percentages can easily be converted to decimals.** simply divide the percent by 100, and you space set. 15% is the very same as 0.15. So as we have displayed before, 0.15 the 250 cookie is thirty-seven and a half.

Percentages space sometimes much better at expressing miscellaneous quantities 보다 decimal fractions in chemistry or physics. Because that example, the is lot convenient come say that percent concentration that a specific substance is 15.7% 보다 that there are 18.66 grams of substance in 118.66 grams of systems (like in an instance in percentage concentration calculator). An additional example is efficiency (or that is special case - Carnot efficiency). Is it better to say the a car engine works v an effectiveness of 20% or the it to produce an power output that 0.2 kWh native the input energy of 1 kWh? What do you think? We space sure that you're already well conscious that knowing how to get a percent of a number is a an useful ability.

## How to uncover the portion of a number? - other examples

While it's definitely quick and also painless just to use our percentage calculator, you don't always have access to a computer or a smartphone. Also, it's just plain cool to have the ability to perform calculations in her head. Perhaps not together cool together juggling flaming torches, but close.

The percent tells you how number A relates come number B. A real-world example might be: there room two girls in a group of five children. What's the percentage of girls? In other words, we want to understand what's the ratio of girl to all children. It's 2 out of 5, or 2/5. We speak to the first number (2) a **numerator** and the second number (5) a **denominator** due to the fact that this is a fraction. To calculate the percentage, multiply this portion by 100 and add a percent sign. 100 * molecule / denominator = percentage. In our instance it's 100 * 2/5 = 100 * 0.4 = 40. Fourty percent of the team are girls. That's the whole procedure that converting in between decimal fractions and percentages. Speaking of decimal fractions, over there is a way to write very huge or very small numbers concisely. Check it out with our clinical notation calculator!

Do friend have problems with simple fractions? The best way to solve this is by recognize the GCF (Greatest usual Factor) of the numerator and also denominator and also divide both of lock by GCF. You can find our GCF and also LCM calculator come be practically here. It searches every the factors of both numbers and then reflects the greatest usual one. As the name suggests, it likewise estimates the LCM which represents the Least common Multiple.

Let's go the other way around and shot to **find the numerator**. Speak we understand that 70 percent of fruit in the basket room apples, and there are 30 fruit altogether. It could be worse - they might be lemons. For this reason how countless apples execute we have? Let's gain our portion formula: 100 * numerator / denominator = percentage. We desire to discover out the numerator. Let's relocate all the various other parts of the equation to the various other side. Division both sides by 100 (to get rid of 100 top top the left) and also then multiply both sides by the denominator. This is what us get: molecule = percent * denominator / 100. Let's instead of percentage and also denominator through our values: numerator = 70 * 30 / 100. Now it's easy: molecule = 2100 / 100 = 21, we have actually 21 apples. Need to be enough for lunch or a fairly violent food fight.

Now let's fix a problem with an **unknown denominator**. We invested 30 percent that our pocket money on bubble gum (we never ever said we're good investors). Us bought 12 sticks because that $1 each. Therefore we recognize that $12 to be 30 percent of our total budget. How much money did us have before we virtually literally go out it every away? Let's start with our formula: 100 * numerator / denominator = percentage or 100 * 12 / denominator = 30. This time we want to uncover out the denominator. Let's main point both sides by the denominator and then divide by percentage. This way, we'll gain 100 * 12 / 30 = denominator. And also the other way around, denominator = 100 * 12 / 30 = 1200 / 30 = 40. We had 40 dollars, and we spent 30 percent, or $12, on bubble gum. Completely worth it.

## How to calculate the percentage? What's the percentage formula?

Staying v our cookie examples, let's name the three components in our equation: the **percentage** of cookies - 40%, the **whole** pack of cookies - 20 and the **part** of the pack of cookie - 8. Depending on what you desire to estimate, you have the right to write three miscellaneous percentage formulas:

That's technically all. You have to now know exactly how to find the percentage of a number.

Believe it or not, yet knowing exactly how to calculate percentages is vital in sports. Room you supporting any type of sports team? We've obtained some amazing tools because that you i m sorry involve percentages. Check our winning percent calculator to see how good the critical season yes, really was for your favorite team. Also, if you're planning to gambling on your team (or make any type of other investment), visit the hazard calculator to discover out which choice is safer.

## History of percentage - the percent sign

Although old Romans offered Roman numerals *I*, *V*, *X*, *L*, and so on, calculations were frequently performed in fractions the were separated by 100. It was tantamount to the computer of percentages the we understand today. Computations with a denominator that 100 became more standard after ~ the advent of the decimal system. Many medieval arithmetic texts applied this an approach to explain finances, e.g., attention rates. However, the percent sign % we understand today only came to be popular a small while ago, in the 20th century, after year of consistent evolution.

The term percent is frequently attributed come Latin *per centum*, which means *by a hundred*. Actually, the is wrong. We gained the term native Italian *per cento* - *for a hundred*. The percent sign % progressed by the gradual contraction that those words over centuries. Eventually, *cento* has actually taken the shape of 2 circles be separated by a horizontal line, indigenous which the contemporary % symbol is derived. The background of mathematical symbols is sometimes astonishing. We encourage girlfriend to take a look at the origin of the square root symbol!

Recently, the percent symbol is widely used in programming languages together an operator. Usually, it means the modulo operation. On the various other hand, in speculative physics, the prize % has a unique meaning. It is used to express the family member error between the true value and the observed value found in a measurement.

Have you ever before met a percent symbol that had second circle? That's not a mistake! There are two connected signs:

‰ -**per mille**- per thousand,‱ -

**per myriad**- per ten thousands (also well-known as a basis point),

Later in the text, we describe in much more detail what every mille means, what is a basis allude and just how to transform per milles and also basis points come percents.

Higher proportions use other notation (called parts-per notation), e.g., parts-per-million (PPM) i beg your pardon is commonly used to measure the concentration of a problem in equipment or mixture. The current problem is smog, the tiny particulate issue that enters the air and can seriously impact someone's health. Visit our smog calculator to watch how many cigarettes execute you "smoke" just by inhaling air and also how can you counteract the spread out of pollutions.

## Spelling - percent or every cent?

Percent or every cent? It counts on her diet. If friend eat hamburgers because that the majority of her meals, it is percent. If you choose fish and chips, that is per cent. If friend spray your fish-smelling chips through vinegar, climate it is per cent, mate (as opposed to citizens eaters' percent, dude). As soon as it involves percentage, both sides of the pond are in agreement: it should be a single word. Tho confused? **Americans say percent, British usage per cent.** other tells us that American English is more popular nowadays, so this website uses a single-word form.

After a very delicious lunch, there's a time for a cup of coffee. It might sound fairly weird because that you, what execute coffee and also percentage have actually in common? our coffee kick calculator tells you what your level the alertness is in percentages during the day! inspect out just how a dose of caffeine helps you continue to be focused! Also, if you're a real coffee-lover, shot our other tools. V coffee come water ratio calculator, friend can discover a perfect ratio of ingredients to prepare your cup of coffee and also caffeine calculator mirrors you how much caffeine you've had during a day. Be mindful that you have the right to overdose on caffeine too!

## What is every mille? What is a basis point?

**Per mille**, **per mil**, **per mill**, or simply **‰** is comparable to percent, only it is one thousandth (1/1000 or 0.001). If our household's budget is $2400 and we allocated 1 every mille of the to to buy chewing gum, we would spend 2.4 dollars (2 dollars 40 cents) on stroked nerves our teacher (well, 20 years ago it to be not allowed in polish schools. We perform not understand the rules nowadays 😃). It's pretty similar to how you find percentages. If you want to use percentage calculator to counting per mille, merely **use numbers 10x lower** (0.2 rather of 2, 4 rather of 40).

**Per myriad**, **basis point** or just **‱** is one ten-thousandth(1/10000 or 0.0001). It's 10x smaller than per mille, therefore to convert basis points to percents, you should **divide lock by 100**. It's the simple!

## Percentage point out (percent points)

Percentage clues (or percent points) room a fairly tricky beast. We usage it all the time also if we don't recognize it - and in this situations, **we often incorrectly speak percent rather of a percent point**. Once you check out this section, you will know exactly how to do it properly and also be annoyed because that the rest of your life (because other human being will keep making the mistake). We can currently say that portion points play an important role in statistics, e.g., in the common distribution, binomial distribution, or to discover the confidence interval because that a sample that data (confidence level is generally at 95 percentage points).

Senator Homer Simpson was polling in ~ 10% last month. He had a few successful debates due to the fact that then, and now 12% the the population wants to poll for him. What's the change? You desire to speak 2%, space we right? It's wrong! Let's study this. Imagine the whole population is 1000 people. 10% of them is 100. 12% is 120. What's the percentage increase? It's 100 * 20 / 100 = 20%!

This case is once percentage point out come in handy. We use percent points as soon as we want to talk around a readjust from one percentage to another. **A adjust from 10% come 12% is two percent points** (or 20 percent).

Another method to think around a difference in a portion change:

**percentage clues change**is the percentage change in relationship to the previous worth (10% in our example and also one percent of that is one-hundredth of 10% = 0.1%),

**change in percentage points**is in relation to the whole part (whole is the entire populace or 1000 in our example. 1% of that is 10). To calculate percentage points,

**simply subtract one percentage from another**. 30% is 20 percentage points greater than 10%. The percentage point can it is in abbreviated together pp.

Now, when you know everything around percentage points, us guarantee the you will review or hear other world incorrectly saying percent as soon as they have to be using percentage points. If you're anything prefer us, you will scream at the newspaper, violation it in some made-up language. This reaction helps to free up space around you as soon as you're utilizing public transport :-)

### What is the percentage?

The percentage have the right to be defined as the dimensionless proportion of two numbers. It have the right to be used to compare 2 numbers and also find out just how much one is more than the other or to compare the data end a typical scale.

See more: List Professional, Trade, Business, Or Civic Activities And Offices Held.

### How carry out I calculate x percent that y?

To calculate x percent the y:

Divide x through 100.Multiply x with y.The result number is x% of y.### How lot percent the x is y?

To find out x in terms of y: