975.02 is what percent of 1199.9 - 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 1199.9 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 1199.9, so we can write it down as 100%=1199.9.
4. We know, that x% equals 975.02 of the output value, so we can write it down as x%=975.02.
5. Now we have two simple equations:
1) 100%=1199.9
2) x%=975.02
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%=1199.9/975.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 975.02 is what percent of 1199.9

100%/x%=1199.9/975.02
(100/x)*x=(1199.9/975.02)*x       - we multiply both sides of the equation by x
100=1.23064142274*x       - we divide both sides of the equation by (1.23064142274) to get x
100/1.23064142274=x
81.258438203184=x
x=81.258438203184

now we have:
975.02 is 81.258438203184% of 1199.9