Step by step solution because that calculating 15 is 40 percent the what number

We currently have our very first value 15 and the 2nd value 40. Let"s assume the unknown value is Y which answer us will discover out.

You are watching: What number is 15 percent of 40

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

STEP 115 = 40% × Y

STEP 215 = 40/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation by 40 we will arrive at:

STEP 3Y = 15 × 100/40

STEP 4Y = 15 × 100 ÷ 40

STEP 5Y = 37.5

Finally, we have discovered the value of Y which is 37.5 and also that is our answer.

You can easily calculate 15 is 40 percent of what number through using any kind of regular calculator, simply enter 15 × 100 ÷ 40 and you will get your answer i m sorry is 37.5

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Sample questions, answers, and how to

Question: her friend has actually a bag of marbles, and he speak you the 40 percent the the marbles are red. If there are 15 red marbles. How many marbles does he have actually altogether?

Answer: 37.5 marbles.

How To: In this problem, we recognize that the Percent is 40, and also we are additionally told that the part of the marbles is red, so we understand that the component is 15.

So, that way that it need to be the complete that"s missing. Here is the method to figure out what the total is:

Part/Total = Percent/100

By making use of a basic algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

If us take the "Part" and also multiply that by 100, and then we divide that by the "Percent", we 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 recognize that the "Part" (red marbles) is 15.

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

15 × 100 = 1500

In step two, we take that 1500 and also divide it by the "Percent", i m sorry we space told is 40.

So, 1500 split by 40 = 37.5

And that method that the total number of marbles is 37.5.

Question: A high college marching band has actually 15 flute players, If 40 percent that the tape members beat the flute, climate how numerous members room in the band?

Answer: There room 37.5 members in the band.

How To: The smaller "Part" in this problem is 15 because there space 15 flute players and also we are told that they comprise 40 percent of the band, for this reason the "Percent" is 40.

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

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

15 × 100 = 1500

For step two, we divide that 1500 by the "Percent", i m sorry is 40.

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1500 separated by 40 equates to 37.5

That means that the total number of band members is 37.5.

Another step by action method

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 40% / 15

Drop the percentage marks to leveling your calculations: 100 / Y = 40 / 15

Multiply both political parties by Y to relocate Y on the best side of the equation: 100 = ( 40 / 15 ) Y