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You are watching: What percentage of 400 is 20

## Step by step method for calculating what percent of 400 is 20

We already have our an initial value **400** and the 2nd value **20**. Let"s assume the unknown worth is **Y** i beg your pardon answer we will discover out.

As we have actually all the required values we need, currently we can put castle in a simple mathematical formula as below:

STEP 1Y = 20/400

By multiply both numerator and also denominator by 100 we will certainly get:

STEP 2Y = 20/400 × 100/100 = 5/100

STEP 3Y = 5

Finally, us have uncovered the worth of Y i beg your pardon is 5 and also that is our answer.

You deserve to use a calculator to find **what percent that 400 is 20**, just get in **20 ÷ 400 × 100** and also you will gain your answer i beg your pardon is **5**

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## Sample questions, answers, and how to

**Question:** her uncle had actually 400 share of his own firm a couple of years earlier, and also now he has 20 of them. What percent that the share of his company he has actually now?

**Answer:** He has actually 5 percent of shares of his firm now.

**How To:** The vital words in this problem are "What Percent" since they permit us understand that it"s the Percent that is missing. For this reason the 2 numbers the it provides us need to be the "Total" and also the "Part" us have.

Part/Total = Percent

In this case, it"s the complete that ours uncle owned. For this reason we placed 400 top top the bottom of the fraction and 20 top top top. Now we"re prepared to figure out the part we don"t know; the Percent.

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20/400 = Percent

To find the percent, all we must do is transform the fraction into its percent kind by multiplying both top and also bottom component by 100 and here is the method to figure out what the Percent is:

20/400 × 100/100 = 5/100

5 = Percent

And that means he has 5 percent the the shares of his agency now.

## Another step by step method

**Step 1:** Let"s solve the equation for Y by very first rewriting the as: **100% / 400 = Y% / 20**

**Step 2:** autumn the portion marks to simplify your calculations: **100 / 400 = Y / 20**

**Step 3:** main point both sides by 20 to isolate Y ~ above the appropriate side that the equation: **20 ( 100 / 400 ) = Y**