» Home » Everyday Math » Expressing One Quantity as Percentage of Another Number
In a school, 56 out of 70 teachers are female. What percentage of the teachers are females? What percentage of them is male? The fraction of female teachers in the school is 56/70 changing this fraction to percentage we have x 100% = 80% 80% of the teachers are female and percentage of male teachers (100%-80%) =20% In general to express one quantity “” as a percentage of the other quantity “”, we have
Write the fraction
Multiply fraction by 100% to convert into percentage.
Example: 108 students out of 150 are passed in Math and 96 out of 160 are passed in English. Find percentage of passed students. Solution: Percentage of passed in Math = x 100% = 72% Percentage of passed in English = x 100% = 60%
Finding a Percentage of a Number: In order to find percentage () of another number “”. We have the following method.
Multiply with the number “” i.e.
Simplify it, if possible.
Example: If 75% of the students in a class of 40 passed a Mathematics test. How many of them failed? Solution: Total Students = 40 Percentage of passed students = 75% No. of students who passed the test = 75% of 40 students = x 40 = 30 No. of failed students = 40 – 30 = 10
Example: Find (1) 25% of 21.60 (2) % x 1.60 Solution:
x 100% = 80%
” as a percentage of the other quantity “
”, we have
by 100% to convert into percentage. 
x 100% = 72%
x 100% = 60%
) of another number “
”. We have the following method.
with the number “
” i.e. 
x 40 = 30
% x 1.60
x 21.60 = 5.40
% x 1.60 = 
% x 1.60 = 
x 
= 
= 0.60 
