262.51 is what percent of 695.57 - 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 695.57 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 695.57, so we can write it down as 100%=695.57.
4. We know, that x% equals 262.51 of the output value, so we can write it down as x%=262.51.
5. Now we have two simple equations:
1) 100%=695.57
2) x%=262.51
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%=695.57/262.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.51 is what percent of 695.57

100%/x%=695.57/262.51
(100/x)*x=(695.57/262.51)*x       - we multiply both sides of the equation by x
100=2.6496895356367*x       - we divide both sides of the equation by (2.6496895356367) to get x
100/2.6496895356367=x
37.740270569461=x
x=37.740270569461

now we have:
262.51 is 37.740270569461% of 695.57