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 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:.
Or, you can multiply 60 by 75, then divide by one hundred:. Both ways show that the student needs 45 points.
To find a given percentage of a number, change the percentage to a fraction (or decimal) and multiply by the number.