Question
Solve the equation
x=100
Evaluate
x(1+20%)=120
Simplify
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Evaluate
x(1+20%)
Add the numbers
More Steps

Evaluate
1+20%
By definition p%=p×0.01
1+20×0.01
Calculate
1+0.2
Add the numbers
1.2
x×1.2
Use the commutative property to reorder the terms
1.2x
1.2x=120
Divide both sides
1.21.2x=1.2120
Divide the numbers
x=1.2120
Solution
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Evaluate
1.2120
Convert the decimal into a fraction
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Evaluate
1.2
Convert the decimal into a fraction
1012
Reduce the fraction
56
56120
Multiply by the reciprocal
120×65
Reduce the numbers
20×5
Multiply the numbers
100
x=100
Show Solution

Rewrite the equation
x=100
Evaluate
x(1+20%)=120
Evaluate
More Steps

Evaluate
x(1+20%)
Add the numbers
More Steps

Evaluate
1+20%
By definition p%=p×0.01
1+20×0.01
Calculate
1+0.2
Add the numbers
1.2
x×1.2
Use the commutative property to reorder the terms
1.2x
1.2x=120
Convert the decimal into a fraction
More Steps

Evaluate
1.2
Convert the decimal into a fraction
1012
Reduce the fraction
56
56x=120
Multiply both sides of the equation by LCD
6x=600
Solution
x=100
Show Solution
