Solve percent equations
Key notes:
A percent is 1 part out of 100.
1% is equal to 1/100 or 0.01
Proportions can be used to solve percent problems.
part / whole = percent / 100
Learn with an example
🔔 Fill in the missing number.
60% of ____ = 54
The part is 54.
The percent is 60%.
Let n represent the whole.
Write a proportion to solve for n.
54 / n = 60 / 100
60n = 54 · 100
60n = 5,400
60n ÷ 60 = 5,400 ÷ 60
n = 90
60% of 90 = 54
You could also find the answer by writing and solving an equation:
part = percentage of whole
54 = 0.6 · n
54 = 0.6n
54 ÷ 0.6 = 0.6n ÷ 0.6
90 = n
60% of 90 = 54
🔔 ₹13 is what percent of ₹26?
The part is 13.
The whole is 26.
Let n represent the percent.
Write a proportion to solve for n.
13 / 26 = n / 100
13 · 100 = 26n
1,300 = 26n
1,300 ÷ 26 = 26n ÷ 26
50 = n
₹13 is 50% of ₹26.
You could also find the answer by writing and solving an equation:
part = percentage of whole
13 = n / 100 . 26
13 = 26n / 100
13 = 0.26n
13 ÷ 0.26 = 0.26 n÷ 0.26
50 = n
₹13 is 50% of ₹26.
🔔 Fill in the missing number.
100% of ____ = 44
100% of a number is the entire number. 100% of 44 is 44. You can check this by doing the maths.
The part is 44.
The percent is 100%.
Let n represent the whole.
Write a proportion to solve for n.
44 / n = 100 / 100
100n = 44 · 100
100n = 4,400
100n ÷ 100 = 4,400 ÷ 100
n = 44
100% of 44 = 44
You could also find the answer by writing and solving an equation:
part = percentage of whole
44 = 1 · n
44 = n
44 ÷ 1 = n ÷ 1
44 = n
100% of 44 = 44
Let’s practice! 🖊️
