Question

50 is 16 ⅔ % of a number. Find the number.

Answer 1

To find : missing number

Given : $50$ is  $16 \frac{2}{3}\%$  of a number .

Solution :

• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.

• It is denoted by means %.  

• Fractions can be converted into percentages and vice-versa.

• Percentages are reversible.  
• Let $x$ be the number , then we have ,

           $16\frac{2}{3}\ \% \ of \ x = 50 \\ \\\frac{16.66}{100} \times x = 50 \\x = \frac{50 \times 100}{16.66} \\ x = 300.12$

Hence, the number is $300 .12$