What is 45.6 percent of 79.8 - 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 79.8 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 79.8 is 100%, so we can write it down as 79.8=100%.
4. We know, that x is 45.6% of the output value, so we can write it down as x=45.6%.
5. Now we have two simple equations:
1) 79.8=100%
2) x=45.6%
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:
79.8/x=100%/45.6%
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 45.6% of 79.8

79.8/x=100/45.6
(79.8/x)*x=(100/45.6)*x       - we multiply both sides of the equation by x
79.8=2.1929824561404*x       - we divide both sides of the equation by (2.1929824561404) to get x
79.8/2.1929824561404=x
36.3888=x
x=36.3888

now we have:
45.6% of 79.8=36.3888