Question : 5 is what percent of 76? Or, What percent of 76 is equal to 5?
Correct Answer 6.58%
Solution & Explanation
Solution
Method (1)
Given number = 76
To find, 5 is what percent of 76?
This question can be written as also
What percent of 76 is equal to 5?
⇒ ?% of 76 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 76 = 5
⇒ m% × 76 = 5
⇒ m/100 × 76 = 5
⇒ 76 m/100 = 5
After cross multiplication, we get
76 m = 5 × 100
After transposing 76 to RHS, we get
m = 5 × 100/76
⇒ m = 500/76
⇒ m = 6.58%
Thus, 6.58% of 76 = 5
Thus, Answer = 6.58%
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 76 = 5
Here, we have ? = m
a = 76
And, b = 5
Thus, using formula
⇒ m = 5 × 100/76
= 5 × 100/76
= 500/76 = 6.58%
Thus, 6.58% of 76 = 5
Thus, 6.58% Answer
Similar Questions
(1) 175 is what percent of 330? Or, What percent of 330 is equal to 175?
(2) 165 is what percent of 310? Or, What percent of 310 is equal to 165?
(3) Convert 842% into fraction.
(4) 155 is what percent of 290? Or, What percent of 290 is equal to 155?
(5) Convert 717% into fraction.
(6) Convert 312% into fraction.
(7) Convert 537% into fraction.
(8) Convert 506% into fraction.
(9) Convert 980% into fraction.
(10) Convert 744% into fraction.