Question

What percent is 20 cm of 1 m?

Answer 1

Hint: We start solving the problem by recalling the conversion of metres into centimetres as 1 metre = 100 centimetres. We then convert the given meters into centimeters. We recall the formula of the percentage of ‘a’ in ‘b’ as ${\displaystyle \frac{a}{b}}\times 100$ and use this for finding the percentage of 20 cm in 1 m. We then make the necessary calculations to find the required percentage.

Complete step-by-step solution
According to the problem, we are asked to find the percentage of 20 cm in 1 m.
Let us convert 1 metre(m) into centimetres(cm).
We know that 1 meter = 100 centimeters.
So, we need to find what is the percentage of 20 cm in 100 cm. Let us assume it as d%.
We know that the percentage of ‘a’ in ‘b’ is defined as ${\displaystyle \frac{a}{b}}\times 100$.
So, we get $d\mathrm{\%}={\displaystyle \frac{20}{100}}\times 100$.
$\Rightarrow d\mathrm{\%}={\displaystyle \frac{1}{5}}\times 100$.
$\Rightarrow d\mathrm{\%}=20$.
So, we have found the required percentage of 20%. The percentage of 20 cm in 1 m is 20%.

Note: We can also find the percentage by converting 20 cm into metres using the conversion 1 centimetre = 0.01 metres. We should make sure that while reporting in percentage we multiply with 100 and not otherwise. Whenever we get this type of problem, we first try to convert the given measurements into a common measurement otherwise the answer we obtained will be wrong. Similarly, we expect problems to find the percentage of 10 mm in 1 Deca meter.