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

We currently have our first value **15** and also the second value **40**. Let"s i think the unknown value is **Y** which answer we will uncover out.

You are watching: What number is 15 of 40

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

STEP 115 = 40% × Y

STEP 215 = 40/100× Y

Multiplying both political parties 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, us have found the value of Y which is 37.5 and that is ours answer.

You can easily calculate **15 is 40 percent the what number** by using any type of regular calculator, simply go into **15 × 100 ÷ 40** and you will obtain your answer i beg your pardon is **37.5**

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## Sample questions, answers, and how to

**Question:** your friend has a bag of marbles, and he speak you the 40 percent of the marbles room red. If there room 15 red marbles. How plenty of marbles walk he have altogether?

**Answer:** 37.5 marbles.

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

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

Part/Total = Percent/100

By making use of a an easy algebra we can re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem around the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 15.

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

15 × 100 = 1500

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

So, 1500 separated by 40 = 37.5

And that way that the total variety of marbles is 37.5.

**Question:** A high school marching band has actually 15 flute players, If 40 percent the the band members beat the flute, then how countless members are in the band?

**Answer:** There room 37.5 members in the band.

**How To:** The smaller "Part" in this difficulty is 15 since there room 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 find it, we simply need to follow our 2 step procedure as the previous problem.

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

15 × 100 = 1500

For step two, we division that 1500 by the "Percent", which is 40.

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1500 divided by 40 amounts to 37.5

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

## Another step by step method

**Step 1:** Let"s i think the unknown value is **Y**

**Step 2:** an initial writing it as: **100% / Y = 40% / 15**

**Step 3:** drop the percentage marks to simplify your calculations: **100 / Y = 40 / 15**

**Step 4:** multiply both political parties by Y to move Y top top the ideal side the the equation: **100 = ( 40 / 15 ) Y**

**Step 5:** simple the appropriate side, we get: **100 = 40 Y**

**Step 6:** dividing both sides of the equation by 40, we will certainly arrive in ~ **37.5 = Y**

This pipeline us v our last answer: **15 is 40 percent of 37.5**

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