Question : 145 is what percent of 270? Or, What percent of 270 is equal to 145?
Correct Answer 53.7%
Solution & Explanation
Solution
Given number = 270
To find, 145 is what percent of 270?
This question can be written as also
What percent of 270 is equal to 145?
⇒ ?% of 270 = 145
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 270 = 145
⇒ m% × 270 = 145
⇒ m/100 × 270 = 145
⇒ 270 m/100 = 145
After cross multiplication, we get
270 m = 145 × 100
After transposing 270 to RHS, we get
m = 145 × 100/270
⇒ m = 14500/270
⇒ m = 53.7%
Thus, 53.7% of 270 = 145
Thus, Answer = 53.7%
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 270 = 145
Here, we have ? = m
a = 270
And, b = 145
Thus, using formula
⇒ m = 145 × 100/270
= 145 × 100/270
= 14500/270 = 53.7%
Thus, 53.7% of 270 = 145
Thus, 53.7% Answer
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