679.92 is what percent of 664.57 - 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 664.57 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 664.57, so we can write it down as 100%=664.57.
4. We know, that x% equals 679.92 of the output value, so we can write it down as x%=679.92.
5. Now we have two simple equations:
1) 100%=664.57
2) x%=679.92
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%=664.57/679.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.92 is what percent of 664.57

100%/x%=664.57/679.92
(100/x)*x=(664.57/679.92)*x       - we multiply both sides of the equation by x
100=0.97742381456642*x       - we divide both sides of the equation by (0.97742381456642) to get x
100/0.97742381456642=x
102.30976420844=x
x=102.30976420844

now we have:
679.92 is 102.30976420844% of 664.57