Step by step solution for calculating 45 is 50 percent the what number

We already have our first value 45 and also the 2nd value 50. Let"s i think the unknown worth is Y i beg your pardon answer we will find out.

You are watching: 45 out of 50 is what percent

As we have actually all the forced values we need, now we have the right to put lock in a basic mathematical formula as below:

STEP 145 = 50% × Y

STEP 245 = 50/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 50 we will certainly arrive at:

STEP 3Y = 45 × 100/50

STEP 4Y = 45 × 100 ÷ 50

STEP 5Y = 90

Finally, we have discovered the worth of Y which is 90 and that is our answer.

You can easily calculate 45 is 50 percent of what number through using any type of regular calculator, simply get in 45 × 100 ÷ 50 and you will obtain your answer i m sorry is 90


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Sample questions, answers, and how to

Question: your friend has a bag the marbles, and he tells you the 50 percent the the marbles are red. If there are 45 red marbles. How countless marbles walk he have actually altogether?

Answer: 90 marbles.

How To: In this problem, we recognize that the Percent is 50, and we are likewise told the the part of the marbles is red, therefore we know that the component is 45.

So, that means that it must be the complete that"s missing. Here is the means to number out what the total is:

Part/Total = Percent/100

By making use of a straightforward algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

If we take the "Part" and multiply that by 100, and also then we division that through the "Percent", us will obtain the "Total".

Let"s shot it the end on our problem about the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 45.

So action one is to simply multiply that part by 100.

45 × 100 = 4500

In action two, us take the 4500 and divide the by the "Percent", which we space told is 50.

So, 4500 divided by 50 = 90

And that method that the total number of marbles is 90.

Question: A high college marching band has 45 flute players, If 50 percent that the band members play the flute, then how numerous members room in the band?

Answer: There room 90 members in the band.

How To: The smaller "Part" in this difficulty is 45 since there are 45 flute players and also we room told the they comprise 50 percent that the band, therefore the "Percent" is 50.

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

For step one, we multiply the "Part" through 100.

45 × 100 = 4500

For step two, we divide that 4500 by the "Percent", i m sorry is 50.

See more: How Many Electrons Are In Mercury (Hg), Mercury (Hg)

4500 divided by 50 amounts to 90

That means that the total number of band members is 90.

Another action by action method

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

Step 2: very first writing the as: 100% / Y = 50% / 45

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 50 / 45

Step 4: main point both sides by Y to relocate Y ~ above the right side the the equation: 100 = ( 50 / 45 ) Y

Step 5: simple the ideal side, we get: 100 = 50 Y

Step 6: separating both political parties of the equation by 50, we will certainly arrive in ~ 90 = Y

This leaves us v our last answer: 45 is 50 percent that 90


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