# What's 20 Percent of 1000? - How-to & Steps

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• 0:03 Steps to Solving the Problem
• 1:43 Solution

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Lesson Transcript
Instructor: Laura Pennington

Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.

In this lesson, we are given a scenario in which we would need to calculate 20% of 1000. We will see the steps involved in solving this problem, the solution to the problem, and how to check our work.

## Steps to Solving the Problem

Suppose you are in charge of a rehearsal dinner for a friend's wedding. The whole bridal party is there along with the families of both the bride and groom, so you know the bill is not going to be small! You also know that the wait staff did a fantastic job at making sure everyone's drinks were full, food was served promptly, and that everyone was having a good time. Based on this, you decide you want to tip 20% because of the good service. At the end of the meal, the waitress brings you the bill, and it is \$1,000. You need to calculate the tip; therefore, you need to find 20% of \$1,000.

In general, to find x percent of y, you first want to put x percent in decimal form. To do this, recognize that percent actually means 'per hundred', so x percent is equivalent to x/100. Thus, you divide x by 100. More simply, you move the decimal point in x, two places to the left.

In this case, x is 20, so divide 20 by 100.

20 / 100 = 0.20

Dividing a number by 100 is the same as moving the decimal point in the number two units to the left. In this problem, you divided 20 by 100, so move the decimal point in 20 two units to the left to get 0.20.

After you've put x in decimal form, multiply this number by y. In the dinner scenario, y is 1,000, so you multiply 0.20 by 1,000.

0.20 * 1,000 = 200

## Solution

After multiplying, you see that 20% of 1,000 is 200. Thus, 20% of a \$1,000 bill is \$200.

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