581.87 is what percent of 599.87 - 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 599.87 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 599.87, so we can write it down as 100%=599.87.
4. We know, that x% equals 581.87 of the output value, so we can write it down as x%=581.87.
5. Now we have two simple equations:
1) 100%=599.87
2) x%=581.87
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%=599.87/581.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 581.87 is what percent of 599.87

100%/x%=599.87/581.87
(100/x)*x=(599.87/581.87)*x       - we multiply both sides of the equation by x
100=1.0309347448743*x       - we divide both sides of the equation by (1.0309347448743) to get x
100/1.0309347448743=x
96.999349859136=x
x=96.999349859136

now we have:
581.87 is 96.999349859136% of 599.87