557.45 is what percent of 700.4 - 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 700.4 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 700.4, so we can write it down as 100%=700.4.
4. We know, that x% equals 557.45 of the output value, so we can write it down as x%=557.45.
5. Now we have two simple equations:
1) 100%=700.4
2) x%=557.45
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%=700.4/557.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.45 is what percent of 700.4

100%/x%=700.4/557.45
(100/x)*x=(700.4/557.45)*x       - we multiply both sides of the equation by x
100=1.2564355547583*x       - we divide both sides of the equation by (1.2564355547583) to get x
100/1.2564355547583=x
79.590234151913=x
x=79.590234151913

now we have:
557.45 is 79.590234151913% of 700.4