8.1.8 Find a Percentage of a Number

Suppose a mathematics exam is out of 75 points, and students need to achieve at least 60% to pass. How many points guarantee a passing grade?

To pass, the student has to earn at least 60% of 75. Here, we can change the percentage into a fraction, then calculate 60 divided by 100 multiplication 75 to find the required point amount. You can work out the points necessary by reducing the fraction and canceling further.

Here is one way of reaching the answer:equation sequence 60 divided by 100 multiplication 75 equals six divided by 10 multiplication 75 equals three divided by five multiplication 75 equals three divided by five multiplication 75 divided by one equals three multiplication seven times five super 15 divided by 51 multiplication one equals three multiplication 15 equals 45.

Or, you can multiply 60 by 75, then divide by one hundred:60 divided by 100 multiplication 75 equals 45. Both ways show that the student needs 45 points.

Summary

To find a given percentage of a number, change the percentage to a fraction (or decimal) and multiply by the number.

8.1.7 To Write a Fraction as a Percentage

8.1.9 Going Solo