129.69 is what percent of 838.13 - 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 838.13 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 838.13, so we can write it down as 100%=838.13.
4. We know, that x% equals 129.69 of the output value, so we can write it down as x%=129.69.
5. Now we have two simple equations:
1) 100%=838.13
2) x%=129.69
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%=838.13/129.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.69 is what percent of 838.13

100%/x%=838.13/129.69
(100/x)*x=(838.13/129.69)*x       - we multiply both sides of the equation by x
100=6.4625645770684*x       - we divide both sides of the equation by (6.4625645770684) to get x
100/6.4625645770684=x
15.473733191748=x
x=15.473733191748

now we have:
129.69 is 15.473733191748% of 838.13