## Step by step solution for calculating 15 is 40 percent of what number

We already have our very first value **15** and the second value **40**. Let"s assume the unknown value is **Y** i m sorry answer we will find out.

You are watching: 40 is 15 of what number

As we have actually all the required values us need, now we deserve to put castle in a simple mathematical formula together below:

STEP 115 = 40% × Y

STEP 215 = 40/100× Y

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

STEP 3Y = 15 × 100/40

STEP 4Y = 15 × 100 ÷ 40

STEP 5Y = 37.5

Finally, we have found the value of Y i m sorry is 37.5 and that is our answer.

You can quickly calculate **15 is 40 percent the what number** by using any regular calculator, simply get in **15 × 100 ÷ 40** and also 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 that marbles, and he tells you that 40 percent of the marbles room red. If there room 15 red marbles. How countless marbles does he have altogether?

**Answer:** 37.5 marbles.

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

So, that means that it should be the total that"s missing. Right here is the way to figure out what the full is:

Part/Total = Percent/100

By utilizing a an easy algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

15 × 100 = 1500

In action two, we take that 1500 and divide that by the "Percent", i beg your pardon we room told is 40.

So, 1500 separated by 40 = 37.5

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

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

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

**How To:** The smaller sized "Part" in this difficulty is 15 since there room 15 flute players and also we are told the they consist of 40 percent the the band, so the "Percent" is 40.

Again, it"s the "Total" that"s missing here, and to find it, we simply need to monitor our 2 action procedure as the vault problem.

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

15 × 100 = 1500

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

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1500 divided by 40 equals 37.5

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

## Another step by action method

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

**Step 2:** first writing that as: **100% / Y = 40% / 15**

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

**Step 4:** main point both political parties by Y to move Y on the right side that the equation: **100 = ( 40 / 15 ) Y**

**Step 5:** simplifying the ideal side, us get: **100 = 40 Y**

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

This leaves us with our final answer: **15 is 40 percent of 37.5**

15 is 40 percent that 37.5 |

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