5296.09 is what percent of 29313.16 - 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 29313.16 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 29313.16, so we can write it down as 100%=29313.16.
4. We know, that x% equals 5296.09 of the output value, so we can write it down as x%=5296.09.
5. Now we have two simple equations:
1) 100%=29313.16
2) x%=5296.09
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%=29313.16/5296.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5296.09 is what percent of 29313.16

100%/x%=29313.16/5296.09
(100/x)*x=(29313.16/5296.09)*x       - we multiply both sides of the equation by x
100=5.5348681763339*x       - we divide both sides of the equation by (5.5348681763339) to get x
100/5.5348681763339=x
18.067277632299=x
x=18.067277632299

now we have:
5296.09 is 18.067277632299% of 29313.16