400.58 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 400.58 of the output value, so we can write it down as x%=400.58.
5. Now we have two simple equations:
1) 100%=700
2) x%=400.58
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%=700/400.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.58 is what percent of 700

100%/x%=700/400.58
(100/x)*x=(700/400.58)*x       - we multiply both sides of the equation by x
100=1.7474661740476*x       - we divide both sides of the equation by (1.7474661740476) to get x
100/1.7474661740476=x
57.225714285714=x
x=57.225714285714

now we have:
400.58 is 57.225714285714% of 700