909.49 is what percent of 1166.23 - 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 1166.23 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 1166.23, so we can write it down as 100%=1166.23.
4. We know, that x% equals 909.49 of the output value, so we can write it down as x%=909.49.
5. Now we have two simple equations:
1) 100%=1166.23
2) x%=909.49
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%=1166.23/909.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 909.49 is what percent of 1166.23

100%/x%=1166.23/909.49
(100/x)*x=(1166.23/909.49)*x       - we multiply both sides of the equation by x
100=1.2822900746572*x       - we divide both sides of the equation by (1.2822900746572) to get x
100/1.2822900746572=x
77.985474563337=x
x=77.985474563337

now we have:
909.49 is 77.985474563337% of 1166.23