Question

32% of what number is 40

Answer 1

Answer:

We have,

32 /100  × x = 40

x = 40 ×  100 /32

x = 125

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Answer 2

Answer:

$32\ \%$ of $125$ is $40$

Step-by-step explanation:

To find : 32% of what number is 40 .

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. For example, $30 \%\ of\ 40$ is the same as $40 \%\ of \ 30$ .
• Let , $32\ \%$ of $x$ be  $40$

• According to above statement we write as , $\frac{32}{100}\times x = 40$ .
• Now using by transposing constant at RHS and leaving variable at LHS  we find the value of $x$.

         $\frac{32}{100}\times x = 40\\\\ \frac{8}{25} \times x= 40\\\\ x = \frac{40\times 25}{8} \\\\x = 5\times 25\\\\x =125$