127.94 is what percent of 1183.75 - 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 1183.75 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 1183.75, so we can write it down as 100%=1183.75.
4. We know, that x% equals 127.94 of the output value, so we can write it down as x%=127.94.
5. Now we have two simple equations:
1) 100%=1183.75
2) x%=127.94
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%=1183.75/127.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.94 is what percent of 1183.75

100%/x%=1183.75/127.94
(100/x)*x=(1183.75/127.94)*x       - we multiply both sides of the equation by x
100=9.2523839299672*x       - we divide both sides of the equation by (9.2523839299672) to get x
100/9.2523839299672=x
10.808025343189=x
x=10.808025343189

now we have:
127.94 is 10.808025343189% of 1183.75