659.61 is what percent of 695.6 - 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 695.6 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 695.6, so we can write it down as 100%=695.6.
4. We know, that x% equals 659.61 of the output value, so we can write it down as x%=659.61.
5. Now we have two simple equations:
1) 100%=695.6
2) x%=659.61
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%=695.6/659.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 659.61 is what percent of 695.6

100%/x%=695.6/659.61
(100/x)*x=(695.6/659.61)*x       - we multiply both sides of the equation by x
100=1.0545625445339*x       - we divide both sides of the equation by (1.0545625445339) to get x
100/1.0545625445339=x
94.826049453709=x
x=94.826049453709

now we have:
659.61 is 94.826049453709% of 695.6