418.13 is what percent of 588.57 - 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 588.57 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 588.57, so we can write it down as 100%=588.57.
4. We know, that x% equals 418.13 of the output value, so we can write it down as x%=418.13.
5. Now we have two simple equations:
1) 100%=588.57
2) x%=418.13
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%=588.57/418.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.13 is what percent of 588.57

100%/x%=588.57/418.13
(100/x)*x=(588.57/418.13)*x       - we multiply both sides of the equation by x
100=1.4076244230263*x       - we divide both sides of the equation by (1.4076244230263) to get x
100/1.4076244230263=x
71.041677285624=x
x=71.041677285624

now we have:
418.13 is 71.041677285624% of 588.57