581.8 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 581.8 of the output value, so we can write it down as x%=581.8.
5. Now we have two simple equations:
1) 100%=675
2) x%=581.8
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%=675/581.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 581.8 is what percent of 675

100%/x%=675/581.8
(100/x)*x=(675/581.8)*x       - we multiply both sides of the equation by x
100=1.1601925060158*x       - we divide both sides of the equation by (1.1601925060158) to get x
100/1.1601925060158=x
86.192592592593=x
x=86.192592592593

now we have:
581.8 is 86.192592592593% of 675