## Step by action solution because that calculating 8 is 20 percent of what number

We currently have our very first value **8** and the second value **20**. Let"s i think the unknown value is **Y** i m sorry answer we will find out.

You are watching: 8 is 20 percent of what number

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

STEP 1 8 = 20% × Y

STEP 2 8 = 20/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation through 20 we will arrive at:

STEP 3 Y = 8 × 100/20

STEP 4 Y = 8 × 100 ÷ 20

STEP 5 Y = 40

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

You can quickly calculate **8 is 20 percent the what number** through using any type of regular calculator, simply get in **8 × 100 ÷ 20** and also you will gain your answer i beg your pardon is **40**

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## Sample questions, answers, and how to

**Question:** your friend has a bag that marbles, and also he tells you that 20 percent that the marbles room red. If there room 8 red marbles. How countless marbles go he have actually altogether?

**Answer:** 40 marbles.

**How To:** In this problem, we understand that the Percent is 20, and also we are also told that the part of the marbles is red, therefore we know that the component is 8.

So, that method that it need to be the complete that"s missing. Below is the way to figure out what the full is:

Part/Total = Percent/100

By making use of a straightforward algebra we can re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and multiply that by 100, and also then we division that through the "Percent", we will obtain the "Total".

Let"s shot it out on our problem about the marbles, that"s very basic and it"s just 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, we take that 800 and also divide the by the "Percent", which we space told is 20.

So, 800 split by 20 = 40

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

**Question:** A high institution marching band has 8 flute players, If 20 percent of the band members beat the flute, then how numerous members room in the band?

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

**How To:** The smaller "Part" in this problem is 8 because there room 8 flute players and we room told that they consist of 20 percent the the band, therefore the "Percent" is 20.

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

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

8 × 100 = 800

For action two, we division that 800 by the "Percent", i m sorry is 20.

See more:

800 split by 20 equates to 40

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

## Have time and also want to find out the calculation?

Let"s i think the unknown value is **Y**

First writing it as: **100% / Y = 20% / 8**

Drop the percentage marks to leveling your calculations: **100 / Y = 20 / 8**

Multiply both political parties by Y to relocate Y top top the appropriate side the the equation: **100 = ( 20 / 8 ) Y**