Step by action solution for calculating 162.5 is 25 percent of what number

We already have our first value 162.5 and also the 2nd value 25. Let"s i think the unknown value is Y i m sorry answer we will uncover out.

You are watching: What percent is 25 of 162.5

As we have actually all the compelled values we need, currently we can put castle in a straightforward mathematical formula as below:

STEP 1162.5 = 25% × Y

STEP 2162.5 = 25/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 25 we will certainly arrive at:

STEP 3Y = 162.5 × 100/25

STEP 4Y = 162.5 × 100 ÷ 25

STEP 5Y = 650

Finally, we have found the value of Y which is 650 and also that is ours answer.

You can quickly calculate 162.5 is 25 percent the what number by using any kind of regular calculator, simply go into 162.5 × 100 ÷ 25 and also you will obtain your answer i m sorry is 650


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Sample questions, answers, and also how to

Question: your friend has actually a bag that marbles, and also he speak you the 25 percent of the marbles are red. If there are 162.5 red marbles. How countless marbles walk he have actually altogether?

Answer: 650 marbles.

How To: In this problem, we understand that the Percent is 25, and we are likewise told that the component of the marbles is red, therefore we know that the component is 162.5.

So, that way that it need to be the complete that"s missing. Here is the means to number out what the full is:

Part/Total = Percent/100

By utilizing a basic algebra we have the right to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

If we take the "Part" and multiply the by 100, and then we divide that by the "Percent", we will gain the "Total".

Let"s try it the end on ours problem around the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 162.5.

So step one is to just multiply that part by 100.

162.5 × 100 = 16250

In step two, us take the 16250 and divide it by the "Percent", which we space told is 25.

So, 16250 separated by 25 = 650

And that way that the total number of marbles is 650.

Question: A high college marching band has actually 162.5 flute players, If 25 percent that the tape members beat the flute, then how countless members space in the band?

Answer: There are 650 members in the band.

How To: The smaller sized "Part" in this difficulty is 162.5 due to the fact that there room 162.5 flute players and also we space told that they make up 25 percent the the band, therefore the "Percent" is 25.

Again, it"s the "Total" that"s missing here, and also to uncover it, we just need to monitor our 2 step procedure together the vault problem.

For action one, us multiply the "Part" by 100.

162.5 × 100 = 16250

For action two, we division that 16250 through the "Percent", i m sorry is 25.

See more: How Many Bits Are In A Character S To Bits Conversion Calculator

16250 split by 25 equals 650

That means that the total variety of band members is 650.

Another step by action method

Step 1: Let"s i think the unknown worth is Y

Step 2: first writing the as: 100% / Y = 25% / 162.5

Step 3: drop the percentage marks to simplify your calculations: 100 / Y = 25 / 162.5

Step 4: multiply both sides by Y to move Y ~ above the appropriate side of the equation: 100 = ( 25 / 162.5 ) Y

Step 5: simple the best side, us get: 100 = 25 Y

Step 6: separating both sides of the equation through 25, we will certainly arrive at 650 = Y

This leaves us with our last answer: 162.5 is 25 percent the 650


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