Step by action solution for calculating 36 is 15 percent the what number

We already have our very first value 36 and also the second value 15. Let"s i think the unknown worth is Y i beg your pardon answer we will uncover out.

You are watching: 36 is 15 percent of what number

As we have all the required values we need, currently we can put them in a basic mathematical formula together below:

STEP 136 = 15% × Y

STEP 236 = 15/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 15 we will arrive at:

STEP 3Y = 36 × 100/15

STEP 4Y = 36 × 100 ÷ 15

STEP 5Y = 240

Finally, us have uncovered the worth of Y which is 240 and that is ours answer.

You can conveniently calculate 36 is 15 percent of what number by using any kind of regular calculator, simply go into 36 × 100 ÷ 15 and also you will gain your answer i beg your pardon is 240


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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and he speak you the 15 percent the the marbles space red. If there space 36 red marbles. How plenty of marbles does he have actually altogether?

Answer: 240 marbles.

How To: In this problem, we understand that the Percent is 15, and also we are additionally told the the part of the marbles is red, therefore we recognize that the component is 36.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on ours problem around the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 36.

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

36 × 100 = 3600

In step two, us take the 3600 and also divide it by the "Percent", i m sorry we room told is 15.

So, 3600 separated by 15 = 240

And that way that the total number of marbles is 240.

Question: A high college marching band has 36 flute players, If 15 percent that the band members play the flute, climate how many members room in the band?

Answer: There are 240 members in the band.

How To: The smaller sized "Part" in this problem is 36 because there are 36 flute players and also we room told the they comprise 15 percent of the band, therefore the "Percent" is 15.

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

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

36 × 100 = 3600

For action two, we divide that 3600 by the "Percent", i m sorry is 15.

See more: What State Is Hazzard County In, Georgia Filming Locations — The Dukes Of Hazzard

3600 split by 15 amounts to 240

That method that the total variety of band members is 240.

Another step by action method

Step 1: Let"s assume the unknown value is Y

Step 2: first writing it as: 100% / Y = 15% / 36

Step 3: fall the percentage marks to leveling your calculations: 100 / Y = 15 / 36

Step 4: multiply both sides by Y to move Y ~ above the best side of the equation: 100 = ( 15 / 36 ) Y

Step 5: simple the best side, we get: 100 = 15 Y

Step 6: dividing both sides of the equation through 15, we will certainly arrive at 240 = Y

This pipeline us with our last answer: 36 is 15 percent that 240


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