What is the answer to 20=(100)/(100+x)*100 ?

The answer to 20=(100)/(100+x)*100 is x=400

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20=(100)/(100+x)*100

20 = \frac{100}{100 + x} \cdot 100

x = 400

Solution steps

20 = \frac{100}{100 + x} \cdot 100

Simplify

\frac{100}{100 + x} \cdot 100 : \frac{10000}{100 + x}

20 = \frac{10000}{100 + x}

Multiply both sides by

100 + x

20 (100 + x) = 10000

Divide both sides by

20

100 + x = 500

Move

100

to the right side

x = 400

Verify Solutions

Find undefined (singularity) points:

x = - 100

Combine undefined points with solutions:

x = 400

\frac{x}{2 x} = \frac{x}{12 - x}

(\frac{3}{x})^{2} + 2 = 1

\frac{9}{x - 1} = 3

\frac{5}{x} = 21.6

2 b^{- 2} = 7 b^{- 1} - 3

What is the answer to 20=(100)/(100+x)*100 ?
The answer to 20=(100)/(100+x)*100 is x=400
Solve for x: 20=(100)/(100+x)*100
The solution is x=400