# Question: What percent of 500 is 200?

## Step by step method for calculating what percent of 500 is 200

We already have our first value 500 and the second value 200. Let's assume the unknown value is Y which answer we will find out.

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

STEP 1 Y = 200/500

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

STEP 2 Y = 200/500 × 100/100 = 40/100

STEP 3 Y = 40

Finally, we have found the value of Y which is 40 and that is our answer. You can use a calculator to find what percent of 500 is 200, just enter 200 ÷ 500 × 100 and you will get your answer which is 40 Here is a calculator to solve percentage calculations such as what percent of 500 is 200. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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## Sample questions, answers, and how to

Question: Your uncle had 500 shares of his own company a few years earlier, and now he has 200 of them. What percent of the shares of his company he has now?

Answer: He has 40 percent of shares of his company now.

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 500 on the bottom of the fraction and 200 on top. Now we're ready to figure out the part we don't know; the Percent.

200/500 = 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:

200/500 × 100/100 = 40/100

40 = Percent

And that means he has 40 percent of the shares of his company now.

## Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 500 = Y% / 200

Step 2: Drop the percentage marks to simplify your calculations: 100 / 500 = Y / 200

Step 3: Multiply both sides by 200 to isolate Y on the right side of the equation: 200 ( 100 / 500 ) = Y

Step 4: Computing the left side, we get: 40 = Y

This leaves us with our final answer: 40 percent of 500 is 200