948.4 is what percent of 1000.1 - 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 1000.1 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 1000.1, so we can write it down as 100%=1000.1.
4. We know, that x% equals 948.4 of the output value, so we can write it down as x%=948.4.
5. Now we have two simple equations:
1) 100%=1000.1
2) x%=948.4
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%=1000.1/948.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 948.4 is what percent of 1000.1

100%/x%=1000.1/948.4
(100/x)*x=(1000.1/948.4)*x       - we multiply both sides of the equation by x
100=1.0545128637706*x       - we divide both sides of the equation by (1.0545128637706) to get x
100/1.0545128637706=x
94.830516948305=x
x=94.830516948305

now we have:
948.4 is 94.830516948305% of 1000.1