423.06 is what percent of 520 - 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 520 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 520, so we can write it down as 100%=520.
4. We know, that x% equals 423.06 of the output value, so we can write it down as x%=423.06.
5. Now we have two simple equations:
1) 100%=520
2) x%=423.06
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%=520/423.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.06 is what percent of 520

100%/x%=520/423.06
(100/x)*x=(520/423.06)*x       - we multiply both sides of the equation by x
100=1.2291400746939*x       - we divide both sides of the equation by (1.2291400746939) to get x
100/1.2291400746939=x
81.357692307692=x
x=81.357692307692

now we have:
423.06 is 81.357692307692% of 520