960.82 is what percent of 686.3 - 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 686.3 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 686.3, so we can write it down as 100%=686.3.
4. We know, that x% equals 960.82 of the output value, so we can write it down as x%=960.82.
5. Now we have two simple equations:
1) 100%=686.3
2) x%=960.82
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%=686.3/960.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 960.82 is what percent of 686.3

100%/x%=686.3/960.82
(100/x)*x=(686.3/960.82)*x       - we multiply both sides of the equation by x
100=0.71428571428571*x       - we divide both sides of the equation by (0.71428571428571) to get x
100/0.71428571428571=x
140=x
x=140

now we have:
960.82 is 140% of 686.3