1165.7 is what percent of 5765 - 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 5765 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 5765, so we can write it down as 100%=5765.
4. We know, that x% equals 1165.7 of the output value, so we can write it down as x%=1165.7.
5. Now we have two simple equations:
1) 100%=5765
2) x%=1165.7
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%=5765/1165.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1165.7 is what percent of 5765

100%/x%=5765/1165.7
(100/x)*x=(5765/1165.7)*x       - we multiply both sides of the equation by x
100=4.9455262932144*x       - we divide both sides of the equation by (4.9455262932144) to get x
100/4.9455262932144=x
20.220294882914=x
x=20.220294882914

now we have:
1165.7 is 20.220294882914% of 5765