95.45 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 95.45 of the output value, so we can write it down as x%=95.45.
5. Now we have two simple equations:
1) 100%=520
2) x%=95.45
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%=520/95.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.45 is what percent of 520

100%/x%=520/95.45
(100/x)*x=(520/95.45)*x       - we multiply both sides of the equation by x
100=5.4478784704034*x       - we divide both sides of the equation by (5.4478784704034) to get x
100/5.4478784704034=x
18.355769230769=x
x=18.355769230769

now we have:
95.45 is 18.355769230769% of 520