938.52 is what percent of 950.4 - 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 950.4 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 950.4, so we can write it down as 100%=950.4.
4. We know, that x% equals 938.52 of the output value, so we can write it down as x%=938.52.
5. Now we have two simple equations:
1) 100%=950.4
2) x%=938.52
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%=950.4/938.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 938.52 is what percent of 950.4

100%/x%=950.4/938.52
(100/x)*x=(950.4/938.52)*x       - we multiply both sides of the equation by x
100=1.0126582278481*x       - we divide both sides of the equation by (1.0126582278481) to get x
100/1.0126582278481=x
98.75=x
x=98.75

now we have:
938.52 is 98.75% of 950.4