Question : 5 is what percent of 17? Or, What percent of 17 is equal to 5?
Correct Answer 29.41%
Solution & Explanation
Solution
Method (1)
Given number = 17
To find, 5 is what percent of 17?
This question can be written as also
What percent of 17 is equal to 5?
⇒ ?% of 17 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 17 = 5
⇒ m% × 17 = 5
⇒ m/100 × 17 = 5
⇒ 17 m/100 = 5
After cross multiplication, we get
17 m = 5 × 100
After transposing 17 to RHS, we get
m = 5 × 100/17
⇒ m = 500/17
⇒ m = 29.41%
Thus, 29.41% of 17 = 5
Thus, Answer = 29.41%
Method (2) Shortcut Method
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 17 = 5
Here, we have ? = m
a = 17
And, b = 5
Thus, using formula
⇒ m = 5 × 100/17
= 5 × 100/17
= 500/17 = 29.41%
Thus, 29.41% of 17 = 5
Thus, 29.41% Answer
Similar Questions
(1) Convert 434% into fraction.
(2) Convert 202% into fraction.
(3) 5 is what percent of 62? Or, What percent of 62 is equal to 5?
(4) 95 is what percent of 170? Or, What percent of 170 is equal to 95?
(5) Convert 910% into fraction.
(6) Convert 214% into fraction.
(7) Convert 695% into fraction.
(8) Convert 390% into fraction.
(10) Convert 38% into fraction.