Question

62.4% of what number is 17.16?

Answer 1

Step-by-step explanation:

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Questions & Answers

CBSE

Mathematics

Grade 9

Estimating percentages

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What percent of 27.5 is 17.16?

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Hint: Assume that x percent of 27.5 is 17.16. Now, convert x percent into fraction by dividing x with 100. Multiply this obtained fraction with 27.5 and equate it with 17.16. Form a linear equation in x and solve it for the value of x to get the answer.

Complete step by step answer:

Here we have been provided with two decimal numbers: 27.5 and 17.16 and we are asked to determine the percentage of 27.5 that will make 17.16. First let us understand the meaning of the term ‘percentage’.

In mathematics, percentage represents a number or ratio as a fraction of 100. For example: if we write 25% then we mean in a total of 100 parts of something we have mentioned 25 parts. To change a percentage into the fraction we divide the given percentage by 100 and remove the percentage sign.

Now let us come to the question. Assuming that x% of 27.5 is 17.16 we have,

⇒x%=x100

According to the question we must have,

⇒x100×27.5=17.16

Solving the above equation for the value of x we get,

⇒x=17.16×10027.5

Removing the decimal point and simplifying the expression by cancelling the common factors we get,

⇒x=1716×100275×10100⇒x=17160275∴x=62.4

Hence, 62.4% of 27.5 is 17.16.