\frac { 5 } { 100 + x } = 2.5 \%
Solve for x
x=100
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100\times 5=\left(x+100\right)\times 2.5
Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+100\right), the least common multiple of 100+x,100.
500=\left(x+100\right)\times 2.5
Multiply 100 and 5 to get 500.
500=2.5x+250
Use the distributive property to multiply x+100 by 2.5.
2.5x+250=500
Swap sides so that all variable terms are on the left hand side.
2.5x=500-250
Subtract 250 from both sides.
2.5x=250
Subtract 250 from 500 to get 250.
x=\frac{250}{2.5}
Divide both sides by 2.5.
x=\frac{2500}{25}
Expand \frac{250}{2.5} by multiplying both numerator and the denominator by 10.
x=100
Divide 2500 by 25 to get 100.
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