Question : 45 is what percent of 70? Or, What percent of 70 is equal to 45?
Correct Answer 64.29%
Solution & Explanation
Solution
Given number = 70
To find, 45 is what percent of 70?
This question can be written as also
What percent of 70 is equal to 45?
⇒ ?% of 70 = 45
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 70 = 45
⇒ m% × 70 = 45
⇒ m/100 × 70 = 45
⇒ 70 m/100 = 45
After cross multiplication, we get
70 m = 45 × 100
After transposing 70 to RHS, we get
m = 45 × 100/70
⇒ m = 4500/70
⇒ m = 64.29%
Thus, 64.29% of 70 = 45
Thus, Answer = 64.29%
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 70 = 45
Here, we have ? = m
a = 70
And, b = 45
Thus, using formula
⇒ m = 45 × 100/70
= 45 × 100/70
= 4500/70 = 64.29%
Thus, 64.29% of 70 = 45
Thus, 64.29% Answer
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