mcqs Math Percentage 245 is what percent of 470? Or, What percent of 470 is equal to 245? 1224

Question: 245 is what percent of 470? Or, What percent of 470 is equal to 245?

(A)  65.16%
(B)  39.1%
(C)  52.13%
(D)  78.2%

Correct Answer 52.13%

Solution And Explanation

Solution

Given number = 470

To find, 245 is what percent of 470?

This question can be written as also

What percent of 470 is equal to 245?

⇒ ?% of 470 = 245

Let ? = m

And the meaning of "of" in mathematics is "Multiplication".

∴ m% of 470 = 245

⇒ m% × 470 = 245

⇒ ^m/₁₀₀ × 470 = 245

⇒ ^{470 m}/₁₀₀ = 245

After cross multiplication, we get

470 m = 245 × 100

After transposing 470 to RHS, we get

m = ^{245 × 100}/₄₇₀

⇒ m = ²⁴⁵⁰⁰/₄₇₀

⇒ m = 52.13%

Thus, 52.13% of 470 = 245

Thus, Answer = 52.13%

If we have to find

? % of a = b

Here, let ? = m

Thus, above expression can be written as

m% of a = b

⇒ ^m/₁₀₀ × a = b

⇒ ^{m × a}/₁₀₀ = b

After cross multiplication, we get

m × a = b × 100

⇒ m = ^{b × 100}/_a

Thus, using this formula, we can find a number (a) is what (m) percent of b

In the question, we have to find what percent of 470 = 245

Here, we have ? = m

a = 470

And, b = 245

Thus, using formula

⇒ m = ^{245 × 100}/₄₇₀

= ^{245 × 100}/₄₇₀

= ²⁴⁵⁰⁰/₄₇₀ = 52.13%

Thus, 52.13% of 470 = 245

Thus, 52.13% Answer