Question:
105 is what percent of 190? Or, What percent of 190 is equal to 105?
Correct Answer
55.26%
Solution And Explanation
Solution
Given number = 190
To find, 105 is what percent of 190?
This question can be written as also
What percent of 190 is equal to 105?
⇒ ?% of 190 = 105
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 190 = 105
⇒ m% × 190 = 105
⇒ m/100 × 190 = 105
⇒ 190 m/100 = 105
After cross multiplication, we get
190 m = 105 × 100
After transposing 190 to RHS, we get
m = 105 × 100/190
⇒ m = 10500/190
⇒ m = 55.26%
Thus, 55.26% of 190 = 105
Thus, Answer = 55.26%
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 190 = 105
Here, we have ? = m
a = 190
And, b = 105
Thus, using formula
⇒ m = 105 × 100/190
= 105 × 100/190
= 10500/190 = 55.26%
Thus, 55.26% of 190 = 105
Thus, 55.26% Answer
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