922.65 is what percent of 1175.75 - 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 1175.75 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 1175.75, so we can write it down as 100%=1175.75.
4. We know, that x% equals 922.65 of the output value, so we can write it down as x%=922.65.
5. Now we have two simple equations:
1) 100%=1175.75
2) x%=922.65
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%=1175.75/922.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 922.65 is what percent of 1175.75

100%/x%=1175.75/922.65
(100/x)*x=(1175.75/922.65)*x       - we multiply both sides of the equation by x
100=1.2743185389909*x       - we divide both sides of the equation by (1.2743185389909) to get x
100/1.2743185389909=x
78.47331490538=x
x=78.47331490538

now we have:
922.65 is 78.47331490538% of 1175.75