Step by action solution for calculating 8 is 15 percent of what number

We currently have our very first value 8 and also the 2nd value 15. Let"s i think the unknown value is Y i beg your pardon answer we will find out.

You are watching: 8 is 15 of what number

As we have all the compelled values us need, now we deserve to put castle in a basic mathematical formula as below:

STEP 1 8 = 15% × Y

STEP 2 8 = 15/100× Y

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

STEP 3 Y = 8 × 100/15

STEP 4 Y = 8 × 100 ÷ 15

STEP 5 Y = 53.333

Finally, us have discovered the worth of Y i m sorry is 53.333 and that is ours answer.

You can quickly calculate 8 is 15 percent of what number through using any regular calculator, simply go into 8 × 100 ÷ 15 and you will obtain your answer which is 53.333

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percent the what number

Sample questions, answers, and also how to

Question: your friend has actually a bag of marbles, and he speak you the 15 percent that the marbles room red. If there room 8 red marbles. How countless marbles does he have actually altogether?

Answer: 53.333 marbles.

How To: In this problem, we recognize that the Percent is 15, and we are also told that the component of the marbles is red, so we know that the part is 8.

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

Part/Total = Percent/100

By making use of a straightforward algebra we deserve to re-arrange ours Percent equation choose 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 acquire the "Total".

Let"s try it out on our problem around the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 8.

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

8 × 100 = 800

In action two, us take that 800 and also divide it by the "Percent", which we space told is 15.

So, 800 separated by 15 = 53.333

And that way that the total number of marbles is 53.333.

Question: A high institution marching band has 8 flute players, If 15 percent of the band members beat the flute, climate how countless members space in the band?

Answer: There are 53.333 members in the band.

How To: The smaller sized "Part" in this trouble is 8 since there space 8 flute players and also we space told the they comprise 15 percent of the band, therefore the "Percent" is 15.

Again, it"s the "Total" that"s absent here, and also to discover it, we simply need to follow our 2 action procedure as the previous problem.

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

8 × 100 = 800

For step two, we divide that 800 through the "Percent", i m sorry is 15.

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800 split by 15 equates to 53.333

That means that the total number of band members is 53.333.

Have time and also want to discover the calculation?

Let"s assume the unknown value is Y

First creating it as: 100% / Y = 15% / 8

Drop the percentage marks to leveling your calculations: 100 / Y = 15 / 8

Multiply both political parties by Y to move Y on the right side of the equation: 100 = ( 15 / 8 ) Y