957.5 is what percent of 960.5 - 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 960.5 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 960.5, so we can write it down as 100%=960.5.
4. We know, that x% equals 957.5 of the output value, so we can write it down as x%=957.5.
5. Now we have two simple equations:
1) 100%=960.5
2) x%=957.5
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%=960.5/957.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 957.5 is what percent of 960.5

100%/x%=960.5/957.5
(100/x)*x=(960.5/957.5)*x       - we multiply both sides of the equation by x
100=1.0031331592689*x       - we divide both sides of the equation by (1.0031331592689) to get x
100/1.0031331592689=x
99.68766267569=x
x=99.68766267569

now we have:
957.5 is 99.68766267569% of 960.5