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

We already have our first value 6 and also the second value 15. Let"s assume the unknown value is Y i beg your pardon answer we will find out.

You are watching: 6 is 15% of what number

As we have all the compelled values we need, currently we can put them in a simple mathematical formula as below:

STEP 1 6 = 15% × Y

STEP 2 6 = 15/100× Y

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

STEP 3 Y = 6 × 100/15

STEP 4 Y = 6 × 100 ÷ 15

STEP 5 Y = 40

Finally, us have discovered the value of Y i beg your pardon is 40 and that is our answer.

You can quickly calculate 6 is 15 percent the what number by using any kind of regular calculator, simply get in 6 × 100 ÷ 15 and you will gain your answer i m sorry is 40

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## Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and also he tells you the 15 percent that the marbles space red. If there room 6 red marbles. How numerous marbles go he have actually altogether?

How To: In this problem, we understand that the Percent is 15, and also we are also told the the component of the marbles is red, therefore we know that the part is 6.

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

Part/Total = Percent/100

By making use of a straightforward algebra we can 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 acquire the "Total".

Let"s try it the end on our problem around the marbles, that"s very simple and it"s simply two steps! We know that the "Part" (red marbles) is 6.

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

6 × 100 = 600

In step two, us take the 600 and divide that by the "Percent", which we space told is 15.

So, 600 split by 15 = 40

And that way that the total variety of marbles is 40.

Question: A high school marching band has actually 6 flute players, If 15 percent of the band members beat the flute, then how many members room in the band?

Answer: There room 40 members in the band.

How To: The smaller "Part" in this trouble is 6 since there room 6 flute players and we room told the they make up 15 percent the the band, so the "Percent" is 15.

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

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

6 × 100 = 600

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

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600 separated by 15 equates to 40

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

## Have time and want to discover the calculation?

Let"s assume the unknown value is Y

First composing it as: 100% / Y = 15% / 6

Drop the percentage marks to simplify your calculations: 100 / Y = 15 / 6

Multiply both political parties by Y to relocate Y top top the right side that the equation: 100 = ( 15 / 6 ) Y