45.11 is what percent of 521.39 - 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 521.39 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 521.39, so we can write it down as 100%=521.39.
4. We know, that x% equals 45.11 of the output value, so we can write it down as x%=45.11.
5. Now we have two simple equations:
1) 100%=521.39
2) x%=45.11
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%=521.39/45.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.11 is what percent of 521.39

100%/x%=521.39/45.11
(100/x)*x=(521.39/45.11)*x       - we multiply both sides of the equation by x
100=11.55819108845*x       - we divide both sides of the equation by (11.55819108845) to get x
100/11.55819108845=x
8.6518728782677=x
x=8.6518728782677

now we have:
45.11 is 8.6518728782677% of 521.39