505.07 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 505.07 of the output value, so we can write it down as x%=505.07.
5. Now we have two simple equations:
1) 100%=520
2) x%=505.07
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%=520/505.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.07 is what percent of 520

100%/x%=520/505.07
(100/x)*x=(520/505.07)*x       - we multiply both sides of the equation by x
100=1.029560258974*x       - we divide both sides of the equation by (1.029560258974) to get x
100/1.029560258974=x
97.128846153846=x
x=97.128846153846

now we have:
505.07 is 97.128846153846% of 520