1008.13 is what percent of 971.88 - 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 971.88 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 971.88, so we can write it down as 100%=971.88.
4. We know, that x% equals 1008.13 of the output value, so we can write it down as x%=1008.13.
5. Now we have two simple equations:
1) 100%=971.88
2) x%=1008.13
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%=971.88/1008.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1008.13 is what percent of 971.88

100%/x%=971.88/1008.13
(100/x)*x=(971.88/1008.13)*x       - we multiply both sides of the equation by x
100=0.96404233580987*x       - we divide both sides of the equation by (0.96404233580987) to get x
100/0.96404233580987=x
103.72988434786=x
x=103.72988434786

now we have:
1008.13 is 103.72988434786% of 971.88