Question:
125 is what percent of 230? Or, What percent of 230 is equal to 125?
Correct Answer
54.35%
Solution And Explanation
Solution
Given number = 230
To find, 125 is what percent of 230?
This question can be written as also
What percent of 230 is equal to 125?
⇒ ?% of 230 = 125
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 230 = 125
⇒ m% × 230 = 125
⇒ m/100 × 230 = 125
⇒ 230 m/100 = 125
After cross multiplication, we get
230 m = 125 × 100
After transposing 230 to RHS, we get
m = 125 × 100/230
⇒ m = 12500/230
⇒ m = 54.35%
Thus, 54.35% of 230 = 125
Thus, Answer = 54.35%
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 230 = 125
Here, we have ? = m
a = 230
And, b = 125
Thus, using formula
⇒ m = 125 × 100/230
= 125 × 100/230
= 12500/230 = 54.35%
Thus, 54.35% of 230 = 125
Thus, 54.35% Answer
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