555.45 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 555.45 of the output value, so we can write it down as x%=555.45.
5. Now we have two simple equations:
1) 100%=685
2) x%=555.45
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%=685/555.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 555.45 is what percent of 685

100%/x%=685/555.45
(100/x)*x=(685/555.45)*x       - we multiply both sides of the equation by x
100=1.2332343145198*x       - we divide both sides of the equation by (1.2332343145198) to get x
100/1.2332343145198=x
81.087591240876=x
x=81.087591240876

now we have:
555.45 is 81.087591240876% of 685