901.09 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 901.09 of the output value, so we can write it down as x%=901.09.
5. Now we have two simple equations:
1) 100%=5765
2) x%=901.09
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%=5765/901.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 901.09 is what percent of 5765

100%/x%=5765/901.09
(100/x)*x=(5765/901.09)*x       - we multiply both sides of the equation by x
100=6.3978071002896*x       - we divide both sides of the equation by (6.3978071002896) to get x
100/6.3978071002896=x
15.630355594102=x
x=15.630355594102

now we have:
901.09 is 15.630355594102% of 5765