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 247% into fraction.
(2) Convert 925% into fraction.
(3) Convert 580% into fraction.
(4) 5 is what percent of 58? Or, What percent of 58 is equal to 5?
(5) Convert 355% into fraction.
(6) Convert 217% into fraction.
(7) Convert 864% into fraction.
(8) 5 is what percent of 25? Or, What percent of 25 is equal to 5?
(9) 230 is what percent of 440? Or, What percent of 440 is equal to 230?
(10) Convert 802% into fraction.