116.51 is what percent of 835.73 - 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 835.73 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 835.73, so we can write it down as 100%=835.73.
4. We know, that x% equals 116.51 of the output value, so we can write it down as x%=116.51.
5. Now we have two simple equations:
1) 100%=835.73
2) x%=116.51
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%=835.73/116.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.51 is what percent of 835.73

100%/x%=835.73/116.51
(100/x)*x=(835.73/116.51)*x       - we multiply both sides of the equation by x
100=7.1730323577375*x       - we divide both sides of the equation by (7.1730323577375) to get x
100/7.1730323577375=x
13.941105380924=x
x=13.941105380924

now we have:
116.51 is 13.941105380924% of 835.73