5301.18 is what percent of 46089.97 - 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 46089.97 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 46089.97, so we can write it down as 100%=46089.97.
4. We know, that x% equals 5301.18 of the output value, so we can write it down as x%=5301.18.
5. Now we have two simple equations:
1) 100%=46089.97
2) x%=5301.18
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%=46089.97/5301.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5301.18 is what percent of 46089.97

100%/x%=46089.97/5301.18
(100/x)*x=(46089.97/5301.18)*x       - we multiply both sides of the equation by x
100=8.6942850459709*x       - we divide both sides of the equation by (8.6942850459709) to get x
100/8.6942850459709=x
11.501808311006=x
x=11.501808311006

now we have:
5301.18 is 11.501808311006% of 46089.97