Step by action solution because that calculating 32 is 16 percent the what number

We currently have our first value 32 and also the second value 16. Let"s i think the unknown worth is Y i beg your pardon answer we will find out.

You are watching: 32 is 16 of what number

As we have actually all the compelled values we need, now we deserve to put castle in a basic mathematical formula as below:

STEP 1 32 = 16% × Y

STEP 2 32 = 16/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation by 16 we will arrive at:

STEP 3 Y = 32 × 100/16

STEP 4 Y = 32 × 100 ÷ 16

STEP 5 Y = 200

Finally, we have uncovered the worth of Y which is 200 and that is our answer.

You can conveniently calculate 32 is 16 percent that what number by using any regular calculator, simply enter 32 × 100 ÷ 16 and you will acquire your answer which is 200

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Sample questions, answers, and also how to

Question: her friend has a bag that marbles, and also he tells you the 16 percent that the marbles room red. If there are 32 red marbles. How plenty of marbles does he have actually altogether?

Answer: 200 marbles.

How To: In this problem, we recognize that the Percent is 16, and also we are additionally told the the part of the marbles is red, so we know that the part is 32.

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

Part/Total = Percent/100

By utilizing a straightforward algebra we can re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very simple and it"s simply two steps! We understand that the "Part" (red marbles) is 32.

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

32 × 100 = 3200

In action two, we take that 3200 and also divide that by the "Percent", i m sorry we room told is 16.

So, 3200 divided by 16 = 200

And that means that the total number of marbles is 200.

Question: A high college marching band has actually 32 flute players, If 16 percent that the band members pat the flute, climate how countless members space in the band?

Answer: There are 200 members in the band.

How To: The smaller sized "Part" in this trouble is 32 since there room 32 flute players and we are told that they comprise 16 percent that the band, so the "Percent" is 16.

Again, it"s the "Total" that"s missing here, and to find it, we simply need to monitor our 2 step procedure as the ahead problem.

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

32 × 100 = 3200

For step two, we divide that 3200 through the "Percent", i m sorry is 16.

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3200 separated by 16 equals 200

That method that the total variety of band members is 200.

Have time and want to learn the calculation?

Let"s i think the unknown worth is Y

First writing it as: 100% / Y = 16% / 32

Drop the percent marks to simplify your calculations: 100 / Y = 16 / 32

Multiply both sides by Y to move Y ~ above the ideal side of the equation: 100 = ( 16 / 32 ) Y