45.49 is what percent of 594.58 - 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 594.58 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 594.58, so we can write it down as 100%=594.58.
4. We know, that x% equals 45.49 of the output value, so we can write it down as x%=45.49.
5. Now we have two simple equations:
1) 100%=594.58
2) x%=45.49
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%=594.58/45.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.49 is what percent of 594.58

100%/x%=594.58/45.49
(100/x)*x=(594.58/45.49)*x       - we multiply both sides of the equation by x
100=13.070564959332*x       - we divide both sides of the equation by (13.070564959332) to get x
100/13.070564959332=x
7.6507787009318=x
x=7.6507787009318

now we have:
45.49 is 7.6507787009318% of 594.58