950.94 is what percent of 1005.6 - 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 1005.6 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 1005.6, so we can write it down as 100%=1005.6.
4. We know, that x% equals 950.94 of the output value, so we can write it down as x%=950.94.
5. Now we have two simple equations:
1) 100%=1005.6
2) x%=950.94
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%=1005.6/950.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 950.94 is what percent of 1005.6

100%/x%=1005.6/950.94
(100/x)*x=(1005.6/950.94)*x       - we multiply both sides of the equation by x
100=1.0574799671904*x       - we divide both sides of the equation by (1.0574799671904) to get x
100/1.0574799671904=x
94.564439140811=x
x=94.564439140811

now we have:
950.94 is 94.564439140811% of 1005.6