## Step by action solution for calculating 22 is 20 percent the what number

We already have our an initial value **22** and also the second value **20**. Let"s i think the unknown worth is **Y** which answer we will discover out.

You are watching: What percent is 20 out of 22

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

STEP 122 = 20% × Y

STEP 222 = 20/100× Y

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

STEP 3Y = 22 × 100/20

STEP 4Y = 22 × 100 ÷ 20

STEP 5Y = 110

Finally, we have found the worth of Y i m sorry is 110 and also that is ours answer.

You can quickly calculate **22 is 20 percent the what number** by using any kind of regular calculator, simply get in **22 × 100 ÷ 20** and you will obtain your answer which is **110**

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## Sample questions, answers, and also how to

**Question:** her friend has actually a bag the marbles, and he speak you that 20 percent of the marbles are red. If there space 22 red marbles. How plenty of marbles walk he have actually altogether?

**Answer:** 110 marbles.

**How To:** In this problem, we understand that the Percent is 20, and also we are additionally told that the part of the marbles is red, so we recognize that the component is 22.

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

Part/Total = Percent/100

By making use of a simple algebra we deserve to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 22.

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

22 × 100 = 2200

In step two, we take the 2200 and divide the by the "Percent", which we room told is 20.

So, 2200 split by 20 = 110

And that means that the total number of marbles is 110.

**Question:** A high school marching band has 22 flute players, If 20 percent that the band members beat the flute, then how plenty of members space in the band?

**Answer:** There room 110 members in the band.

**How To:** The smaller "Part" in this trouble is 22 due to the fact that there are 22 flute players and also we room told the they consist of 20 percent that the band, for this reason the "Percent" is 20.

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

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

22 × 100 = 2200

For action two, we division that 2200 by the "Percent", which is 20.

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2200 separated by 20 equals 110

That way that the total number of band members is 110.

## Another action by action method

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

First composing it as: **100% / Y = 20% / 22**

Drop the portion marks to leveling your calculations: **100 / Y = 20 / 22**

Multiply both sides by Y to move Y ~ above the right side that the equation: **100 = ( 20 / 22 ) Y**

Simplifying the appropriate side, we get: **100 = 20 Y**

Dividing both political parties of the equation through 20, we will arrive in ~ **110 = Y**

This pipeline us v our last answer: **22 is 20 percent that 110**

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