What is 73.2 percent of 106.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 106.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 106.5 is 100%, so we can write it down as 106.5=100%.
4. We know, that x is 73.2% of the output value, so we can write it down as x=73.2%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=73.2%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
106.5/x=100%/73.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 73.2% of 106.5

106.5/x=100/73.2
(106.5/x)*x=(100/73.2)*x       - we multiply both sides of the equation by x
106.5=1.3661202185792*x       - we divide both sides of the equation by (1.3661202185792) to get x
106.5/1.3661202185792=x
77.958=x
x=77.958

now we have:
73.2% of 106.5=77.958