45.6 is what percent of 79.9 - 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 79.9 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 100% equals 79.9, so we can write it down as 100%=79.9.
4. We know, that x% equals 45.6 of the output value, so we can write it down as x%=45.6.
5. Now we have two simple equations:
1) 100%=79.9
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:
100%/x%=79.9/45.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.6 is what percent of 79.9

100%/x%=79.9/45.6
(100/x)*x=(79.9/45.6)*x       - we multiply both sides of the equation by x
100=1.7521929824561*x       - we divide both sides of the equation by (1.7521929824561) to get x
100/1.7521929824561=x
57.071339173967=x
x=57.071339173967

now we have:
45.6 is 57.071339173967% of 79.9