Question : 5 is what percent of 83? Or, What percent of 83 is equal to 5?
Correct Answer 6.02%
Solution & Explanation
Solution
Method (1)
Given number = 83
To find, 5 is what percent of 83?
This question can be written as also
What percent of 83 is equal to 5?
⇒ ?% of 83 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 83 = 5
⇒ m% × 83 = 5
⇒ m/100 × 83 = 5
⇒ 83 m/100 = 5
After cross multiplication, we get
83 m = 5 × 100
After transposing 83 to RHS, we get
m = 5 × 100/83
⇒ m = 500/83
⇒ m = 6.02%
Thus, 6.02% of 83 = 5
Thus, Answer = 6.02%
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 83 = 5
Here, we have ? = m
a = 83
And, b = 5
Thus, using formula
⇒ m = 5 × 100/83
= 5 × 100/83
= 500/83 = 6.02%
Thus, 6.02% of 83 = 5
Thus, 6.02% Answer
Similar Questions
(1) Convert 799% into fraction.
(2) Convert 815% into fraction.
(3) Convert 883% into fraction.
(4) 85 is what percent of 150? Or, What percent of 150 is equal to 85?
(5) 5 is what percent of 7? Or, What percent of 7 is equal to 5?
(6) Convert 890% into fraction.
(7) Convert 240% into fraction.
(8) 5 is what percent of 92? Or, What percent of 92 is equal to 5?
(9) 25 is what percent of 30? Or, What percent of 30 is equal to 25?
(10) Convert 495% into fraction.