Question

If 10% of x is 100, how can you find the value of x?

Answer 1

The value of x is 1000, it can be found through this equation:
`0.1x=100`.

Explanation:

1. Set up the problem.

Remember the basic procedure of calculating percentages. When we want to find 10% of any number, we have to multiply said number by 0.1, hence, we may write this problem as:

`0.1x=100`

2. Solve the equation for x.

`(0.1x)/(0.1) =(100)/(0.1) \\ \\x=(100)/(0.1)\\\\ x=1000`

3. Express the result.

The value of x is 1000, it can be found through this equation:
`0.1x=100`.

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Other factors for percentages:

a) To find 25% of a number, we multiply the number by 0.25.

b) To find 5% of a number, we multiply the number by 0.05.

c) To find 120% of a number, we multiply the number by 1.20.