Question:
5 is what percent of 29? Or, What percent of 29 is equal to 5?
Correct Answer
17.24%
Solution And Explanation
Solution
Method (1)
Given number = 29
To find, 5 is what percent of 29?
This question can be written as also
What percent of 29 is equal to 5?
⇒ ?% of 29 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 29 = 5
⇒ m% × 29 = 5
⇒ m/100 × 29 = 5
⇒ 29 m/100 = 5
After cross multiplication, we get
29 m = 5 × 100
After transposing 29 to RHS, we get
m = 5 × 100/29
⇒ m = 500/29
⇒ m = 17.24%
Thus, 17.24% of 29 = 5
Thus, Answer = 17.24%
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 29 = 5
Here, we have ? = m
a = 29
And, b = 5
Thus, using formula
⇒ m = 5 × 100/29
= 5 × 100/29
= 500/29 = 17.24%
Thus, 17.24% of 29 = 5
Thus, 17.24% Answer
Similar Questions
(1) 5 is what percent of 66? Or, What percent of 66 is equal to 5?
(2) Convert 305% into fraction.
(3) Convert 86% into fraction.
(4) Convert 450% into fraction.
(5) Convert 311% into fraction.
(6) Convert 187% into fraction.
(7) 5 is what percent of 36? Or, What percent of 36 is equal to 5?
(8) 45 is what percent of 70? Or, What percent of 70 is equal to 45?
(9) Convert 689% into fraction.
(10) Convert 362% into fraction.