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Question :    185 is what percent of 350? Or, What percent of 350 is equal to 185?


Correct Answer  52.86%

Solution & Explanation

Solution

Given number = 350

To find, 185 is what percent of 350?

This question can be written as also

What percent of 350 is equal to 185?

⇒ ?% of 350 = 185

Let ? = m

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

∴ m% of 350 = 185

⇒ m% × 350 = 185

m/100 × 350 = 185

350 m/100 = 185

After cross multiplication, we get

350 m = 185 × 100

After transposing 350 to RHS, we get

m = 185 × 100/350

⇒ m = 18500/350

⇒ m = 52.86%

Thus, 52.86% of 350 = 185

Thus, Answer = 52.86%

Shortcut Method to find a number is what percent of other

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 350 = 185

Here, we have ? = m

a = 350

And, b = 185

Thus, using formula

⇒ m = 185 × 100/350

= 185 × 100/350

= 18500/350 = 52.86%

Thus, 52.86% of 350 = 185

Thus, 52.86% Answer


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