What is (1-0.99)/(0.99)*100 ?

The solution to (1-0.99)/(0.99)*100 is 1.01010…

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simplify (1-0.99)/(0.99)*100

simplify

\frac{1 - 0.99}{0.99} \cdot 100

1.01010 \dots

Solution steps

\frac{1 - 0.99}{0.99} \cdot 100

Subtract the numbers:

1 - 0.99 = 0.01

= 100 \cdot \frac{0.01}{0.99}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{0.01 \cdot 100}{0.99}

Multiply the numbers:

0.01 \cdot 100 = 1

= \frac{1}{0.99}

Divide the numbers:

\frac{1}{0.99} = 1.01010 \dots

= 1.01010 \dots

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