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:

25% of 21.60 = x 21.60 = 5.40
 % x 1.60 = % x 1.60 = x = = 0.60