## Step by action solution because that calculating 30 is 15 percent of what number

We currently have our first value **30** and the 2nd value **15**. Let"s i think the unknown value is **Y** i m sorry answer us will find out.

You are watching: 30 is 15 of what number

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

STEP 130 = 15% × Y

STEP 230 = 15/100× Y

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

STEP 3Y = 30 × 100/15

STEP 4Y = 30 × 100 ÷ 15

STEP 5Y = 200

Finally, us have uncovered the value of Y which is 200 and that is our answer.

You can quickly calculate **30 is 15 percent the what number** by using any regular calculator, simply go into **30 × 100 ÷ 15** and also you will obtain your answer i beg your pardon is **200**

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## Sample questions, answers, and how to

**Question:** her friend has a bag the marbles, and also he tells you that 15 percent of the marbles room red. If there space 30 red marbles. How many marbles go he have altogether?

**Answer:** 200 marbles.

**How To:** In this problem, we recognize that the Percent is 15, and we are additionally told the the part of the marbles is red, therefore we recognize that the component is 30.

So, that way that it have to be the full that"s missing. Here is the way to figure out what the full is:

Part/Total = Percent/100

By utilizing a simple algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem around the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 30.

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

30 × 100 = 3000

In step two, we take the 3000 and also divide it by the "Percent", which we are told is 15.

So, 3000 divided by 15 = 200

And that method that the total variety of marbles is 200.

**Question:** A high school marching band has 30 flute players, If 15 percent of the band members pat the flute, then how countless members room in the band?

**Answer:** There are 200 members in the band.

**How To:** The smaller "Part" in this problem is 30 because there space 30 flute players and also we room told that they consist of 15 percent of the band, for this reason the "Percent" is 15.

Again, it"s the "Total" that"s absent here, and also to find it, we just need to follow our 2 action procedure together the vault problem.

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

30 × 100 = 3000

For action two, we divide that 3000 through the "Percent", i m sorry is 15.

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3000 split by 15 amounts to 200

That means that the total variety of band members is 200.

## Another action by action method

Let"s assume the unknown worth is **Y**

First writing it as: **100% / Y = 15% / 30**

Drop the percentage marks to simplify your calculations: **100 / Y = 15 / 30**

Multiply both sides by Y to move Y top top the best side of the equation: **100 = ( 15 / 30 ) Y**

Simplifying the appropriate side, we get: **100 = 15 Y**

Dividing both sides of the equation by 15, we will certainly arrive in ~ **200 = Y**

This pipeline us through our final answer: **30 is 15 percent of 200**

30 is 15 percent that 200 |

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