## Step by action solution for calculating 6 is 15 percent the what number

We already have our first value **6** and also the 2nd value **15**. Let"s assume the unknown worth is **Y** which answer us will uncover out.

You are watching: 6 is 15 of what number

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

STEP 16 = 15% × Y

STEP 26 = 15/100× Y

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

STEP 3Y = 6 × 100/15

STEP 4Y = 6 × 100 ÷ 15

STEP 5Y = 40

Finally, us have discovered the value of Y i m sorry is 40 and also that is our answer.

You can quickly calculate **6 is 15 percent that what number** through using any kind of regular calculator, simply go into **6 × 100 ÷ 15** and you will acquire your answer i beg your pardon is **40**

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag of marbles, and he tells you the 15 percent the the marbles room red. If there room 6 red marbles. How plenty of marbles does he have altogether?

**Answer:** 40 marbles.

**How To:** In this problem, we know that the Percent is 15, and we are additionally told that the part of the marbles is red, for this reason we understand that the part is 6.

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

Part/Total = Percent/100

By utilizing a straightforward algebra we have the right to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it out 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 6.

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

6 × 100 = 600

In step two, us take the 600 and also divide that by the "Percent", i m sorry we are told is 15.

So, 600 divided by 15 = 40

And that means that the total number of marbles is 40.

**Question:** A high college marching band has actually 6 flute players, If 15 percent of the band members beat the flute, climate how plenty of members room in the band?

**Answer:** There space 40 members in the band.

**How To:** The smaller sized "Part" in this trouble is 6 since there are 6 flute players and also we are told that they consist of 15 percent of the band, so the "Percent" is 15.

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

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

6 × 100 = 600

For step two, we divide that 600 by the "Percent", i beg your pardon is 15.

See more: Summarize What Part Of Translation Depends On The Base-Pairing Rules

600 divided by 15 equals 40

That way that the total number of band members is 40.

## Another step by step method

**Step 1:** Let"s assume the unknown worth is **Y**

**Step 2:** first writing the as: **100% / Y = 15% / 6**

**Step 3:** autumn the percent marks to simplify your calculations: **100 / Y = 15 / 6**

**Step 4:** multiply both political parties by Y to relocate Y top top the appropriate side of the equation: **100 = ( 15 / 6 ) Y**

**Step 5:** simplifying the right side, us get: **100 = 15 Y**

**Step 6:** separating both political parties of the equation by 15, we will certainly arrive at **40 = Y**

This leaves us through our final answer: **6 is 15 percent of 40**

6 is 15 percent of 40 |

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