558.11 is what percent of 700 - 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 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, so we can write it down as 100%=700.
4. We know, that x% equals 558.11 of the output value, so we can write it down as x%=558.11.
5. Now we have two simple equations:
1) 100%=700
2) x%=558.11
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%=700/558.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 558.11 is what percent of 700

100%/x%=700/558.11
(100/x)*x=(700/558.11)*x       - we multiply both sides of the equation by x
100=1.2542330364982*x       - we divide both sides of the equation by (1.2542330364982) to get x
100/1.2542330364982=x
79.73=x
x=79.73

now we have:
558.11 is 79.73% of 700