113.45 is what percent of 1478.94 - 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 1478.94 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 1478.94, so we can write it down as 100%=1478.94.
4. We know, that x% equals 113.45 of the output value, so we can write it down as x%=113.45.
5. Now we have two simple equations:
1) 100%=1478.94
2) x%=113.45
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%=1478.94/113.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.45 is what percent of 1478.94

100%/x%=1478.94/113.45
(100/x)*x=(1478.94/113.45)*x       - we multiply both sides of the equation by x
100=13.036051123843*x       - we divide both sides of the equation by (13.036051123843) to get x
100/13.036051123843=x
7.6710346599592=x
x=7.6710346599592

now we have:
113.45 is 7.6710346599592% of 1478.94