8365.75 is what percent of 10745 - 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 10745 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 10745, so we can write it down as 100%=10745.
4. We know, that x% equals 8365.75 of the output value, so we can write it down as x%=8365.75.
5. Now we have two simple equations:
1) 100%=10745
2) x%=8365.75
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%=10745/8365.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8365.75 is what percent of 10745

100%/x%=10745/8365.75
(100/x)*x=(10745/8365.75)*x       - we multiply both sides of the equation by x
100=1.2844036697248*x       - we divide both sides of the equation by (1.2844036697248) to get x
100/1.2844036697248=x
77.857142857143=x
x=77.857142857143

now we have:
8365.75 is 77.857142857143% of 10745