20 \% = 20 cm / 20
Solve for c
c=\frac{1}{5m}
m\neq 0
Solve for m
m=\frac{1}{5c}
c\neq 0
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20=5\times 20cm
Multiply both sides of the equation by 100, the least common multiple of 100,20.
20=100cm
Multiply 5 and 20 to get 100.
100cm=20
Swap sides so that all variable terms are on the left hand side.
100mc=20
The equation is in standard form.
\frac{100mc}{100m}=\frac{20}{100m}
Divide both sides by 100m.
c=\frac{20}{100m}
Dividing by 100m undoes the multiplication by 100m.
c=\frac{1}{5m}
Divide 20 by 100m.
20=5\times 20cm
Multiply both sides of the equation by 100, the least common multiple of 100,20.
20=100cm
Multiply 5 and 20 to get 100.
100cm=20
Swap sides so that all variable terms are on the left hand side.
\frac{100cm}{100c}=\frac{20}{100c}
Divide both sides by 100c.
m=\frac{20}{100c}
Dividing by 100c undoes the multiplication by 100c.
m=\frac{1}{5c}
Divide 20 by 100c.
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