Question

120% of a number is 45 what is the number

Answer 1

To find the original number when 120% of it is 45, divide 45 by 1.20, resulting in the number being 37.5.

Step-by-step explanation:

When solving the problem of finding a number when 120% of it is given, you can set up an equation to represent this relationship. If 120% of a number is 45, you want to determine what 100% of that number is, which means finding the original number.

Step-by-step Solution

1. First, understand that percent (%) means parts per hundred.
2. Express 120% as a decimal by dividing by 100, which gives you 1.20.
3. Set up the equation: 1.20 × (the number) = 45.
4. To find the number, divide both sides of the equation by 1.20, which yields (the number) = 45 / 1.20.
5. Perform the division to find the number.

The number is therefore 45 divided by 1.20, which is 37.5.

Answer 2

•Make it an equation out of it. 120÷100 will give you 1.2

•Make the unknown number x

1.2x = 45

•Divide each side by 1.2

x = 37.5

•Check the work.

1.2(37.5) = 45
45 = 45