Step by step solution because that calculating 75 is 15 percent that what number

We currently have our an initial value 75 and also the second value 15. Let"s i think the unknown value is Y i beg your pardon answer us will uncover out.

You are watching: 75 is 15 of what number

As we have all the forced values we need, now we deserve to put lock in a simple mathematical formula together below:

STEP 1 75 = 15% × Y

STEP 2 75 = 15/100× Y

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

STEP 3 Y = 75 × 100/15

STEP 4 Y = 75 × 100 ÷ 15

STEP 5 Y = 500

Finally, us have found the worth of Y i beg your pardon is 500 and that is our answer.

You can conveniently calculate 75 is 15 percent of what number through using any type of regular calculator, simply enter 75 × 100 ÷ 15 and also you will gain your answer i beg your pardon is 500

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Sample questions, answers, and also how to

Question: your friend has actually a bag of marbles, and he tells you the 15 percent the the marbles room red. If there are 75 red marbles. How plenty of marbles does he have actually altogether?

Answer: 500 marbles.

How To: In this problem, we recognize that the Percent is 15, and we are likewise told the the component of the marbles is red, so we recognize that the part is 75.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 75.

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

75 × 100 = 7500

In step two, us take that 7500 and divide it by the "Percent", which we space told is 15.

So, 7500 split by 15 = 500

And that method that the total number of marbles is 500.

Question: A high school marching band has actually 75 flute players, If 15 percent that the tape members pat the flute, climate how numerous members room in the band?

Answer: There space 500 members in the band.

How To: The smaller "Part" in this trouble is 75 since there are 75 flute players and also we space told the they make up 15 percent of the band, therefore the "Percent" is 15.

Again, it"s the "Total" that"s missing here, and also to uncover it, we just need to follow our 2 action procedure as the ahead problem.

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

75 × 100 = 7500

For step two, we divide that 7500 by the "Percent", i m sorry is 15.

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7500 split by 15 equals 500

That way that the total variety of band members is 500.

Have time and also want to learn the calculation?

Let"s assume the unknown worth is Y

First creating it as: 100% / Y = 15% / 75

Drop the portion marks to simplify your calculations: 100 / Y = 15 / 75

Multiply both political parties by Y to move Y on the ideal side the the equation: 100 = ( 15 / 75 ) Y