40.79 is what percent of 545.54 - 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 545.54 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 545.54, so we can write it down as 100%=545.54.
4. We know, that x% equals 40.79 of the output value, so we can write it down as x%=40.79.
5. Now we have two simple equations:
1) 100%=545.54
2) x%=40.79
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%=545.54/40.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.79 is what percent of 545.54

100%/x%=545.54/40.79
(100/x)*x=(545.54/40.79)*x       - we multiply both sides of the equation by x
100=13.374356459917*x       - we divide both sides of the equation by (13.374356459917) to get x
100/13.374356459917=x
7.4769952707409=x
x=7.4769952707409

now we have:
40.79 is 7.4769952707409% of 545.54