## Step by step method for calculating what percent of 120 is 42

We already have our first value **120** and the second value **42**. Let”s assume the unknown value is **Y** which answer we will find out.

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As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1Y = 42/120

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y = 42/120 × 100/100 = 35/100

STEP 3Y = 35

Finally, we have found the value of Y which is 35 and that is our answer.

You can use a calculator to find **what percent of 120 is 42**, just enter **42 ÷ 120 × 100** and you will get your answer which is **35**

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## Sample questions, answers, and how to

**Question:** Your uncle had 120 shares of his own company a few years earlier, and now he has 42 of them. What percent of the shares of his company he has now?

**Answer:** He has 35 percent of shares of his company now.

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**How To:** The key words in this problem are “What Percent” because they let us know that it”s the Percent that is missing. So the two numbers that it gives us must be the “Total” and the “Part” we have.

Part/Total = Percent

In this case, it”s the Total that our uncle owned. So we put 120 on the bottom of the fraction and 42 on top. Now we”re ready to figure out the part we don”t know; the Percent.

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42/120 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

42/120 × 100/100 = 35/100

35 = Percent

And that means he has 35 percent of the shares of his company now.

## Another step by step method

Let”s solve the equation for Y by first rewriting it as: **100% / 120 = Y% / 42**

Drop the percentage marks to simplify your calculations: **100 / 120 = Y / 42**

Multiply both sides by 42 to isolate Y on the right side of the equation: **42 ( 100 / 120 ) = Y**

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