What is 76.82 percent of 40.32 - 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 40.32 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 40.32 is 100%, so we can write it down as 40.32=100%.
4. We know, that x is 76.82% of the output value, so we can write it down as x=76.82%.
5. Now we have two simple equations:
1) 40.32=100%
2) x=76.82%
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:
40.32/x=100%/76.82%
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 76.82% of 40.32

40.32/x=100/76.82
(40.32/x)*x=(100/76.82)*x       - we multiply both sides of the equation by x
40.32=1.3017443374121*x       - we divide both sides of the equation by (1.3017443374121) to get x
40.32/1.3017443374121=x
30.973824=x
x=30.973824

now we have:
76.82% of 40.32=30.973824