## Step by step solution because that calculating 8.82 is 21 percent of what number

We already have our first value **8.82** and the second value **21**. Let"s assume the unknown worth is **Y** i beg your pardon answer us will discover out.

You are watching: 42 is 21 of what number

As we have actually all the forced values we need, now we have the right to put them in a simple mathematical formula as below:

STEP 18.82 = 21% × Y

STEP 28.82 = 21/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 21 we will certainly arrive at:

STEP 3Y = 8.82 × 100/21

STEP 4Y = 8.82 × 100 ÷ 21

STEP 5Y = 42

Finally, us have found the value of Y i beg your pardon is 42 and that is our answer.

You can easily calculate **8.82 is 21 percent the what number** by using any regular calculator, simply enter **8.82 × 100 ÷ 21** and also you will obtain your answer i m sorry is **42**

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## Sample questions, answers, and how to

**Question:** your friend has a bag that marbles, and he speak you the 21 percent that the marbles room red. If there are 8.82 red marbles. How numerous marbles go he have altogether?

**Answer:** 42 marbles.

**How To:** In this problem, we recognize that the Percent is 21, and also we are also told that the component of the marbles is red, for this reason we understand that the component is 8.82.

So, that way that it must be the total that"s missing. Below is the method to figure out what the total is:

Part/Total = Percent/100

By using a basic algebra we have the right to re-arrange ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 8.82.

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

8.82 × 100 = 882

In action two, we take that 882 and also divide the by the "Percent", i beg your pardon we room told is 21.

So, 882 separated by 21 = 42

And that way that the total variety of marbles is 42.

**Question:** A high college marching band has 8.82 flute players, If 21 percent of the band members pat the flute, climate how countless members are in the band?

**Answer:** There space 42 members in the band.

**How To:** The smaller "Part" in this trouble is 8.82 since there space 8.82 flute players and also we room told that they comprise 21 percent the the band, so the "Percent" is 21.

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

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

8.82 × 100 = 882

For action two, we divide that 882 through the "Percent", i m sorry is 21.

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882 split by 21 equals 42

That means that the total number of band members is 42.

## Another step by action method

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

**Step 2:** an initial writing the as: **100% / Y = 21% / 8.82**

**Step 3:** fall the portion marks to leveling your calculations: **100 / Y = 21 / 8.82**

**Step 4:** multiply both political parties by Y to move Y ~ above the right side of the equation: **100 = ( 21 / 8.82 ) Y**

**Step 5:** simple the appropriate side, we get: **100 = 21 Y**

**Step 6:** separating both sides of the equation by 21, we will arrive at **42 = Y**

This pipeline us v our final answer: **8.82 is 21 percent of 42**

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