Step by action solution for calculating 12.8 is 32 percent the what number

We already have our an initial value 12.8 and the 2nd value 32. Let"s i think the unknown worth is Y i beg your pardon answer we will discover out.

You are watching: 12.8 is 32% of what number

As we have all the required values we need, now we can put them in a simple mathematical formula as below:

STEP 112.8 = 32% × Y

STEP 212.8 = 32/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 32 we will certainly arrive at:

STEP 3Y = 12.8 × 100/32

STEP 4Y = 12.8 × 100 ÷ 32

STEP 5Y = 40

Finally, us have discovered the worth of Y i m sorry is 40 and also that is ours answer.

You can conveniently calculate 12.8 is 32 percent that what number by using any type of regular calculator, simply enter 12.8 × 100 ÷ 32 and you will get your answer i m sorry is 40

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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and he speak you that 32 percent of the marbles room red. If there space 12.8 red marbles. How many marbles go he have altogether?

Answer: 40 marbles.

How To: In this problem, we know that the Percent is 32, and we are additionally told that the component of the marbles is red, therefore we understand that the part is 12.8.

So, that method that it should be the full that"s missing. Right here is the way to number out what the complete is:

Part/Total = Percent/100

By using a straightforward algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and also multiply it by 100, and also then we divide that through the "Percent", we will get the "Total".

Let"s try it the end on our problem around the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 12.8.

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

12.8 × 100 = 1280

In step two, us take the 1280 and also divide the by the "Percent", i beg your pardon we are told is 32.

So, 1280 divided by 32 = 40

And that means that the total number of marbles is 40.

Question: A high college marching band has 12.8 flute players, If 32 percent of the tape members pat the flute, then how many members are in the band?

Answer: There room 40 members in the band.

How To: The smaller sized "Part" in this difficulty is 12.8 due to the fact that there are 12.8 flute players and we space told that they comprise 32 percent that the band, so the "Percent" is 32.

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

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

12.8 × 100 = 1280

For action two, we division that 1280 through the "Percent", which is 32.

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1280 divided by 32 amounts to 40

That way that the total number of band members is 40.

Another action by action method

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 32% / 12.8

Drop the percent marks to simplify your calculations: 100 / Y = 32 / 12.8

Multiply both sides by Y to relocate Y on the best side the the equation: 100 = ( 32 / 12.8 ) Y