116.96 is what percent of 2075 - 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 2075 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 2075, so we can write it down as 100%=2075.
4. We know, that x% equals 116.96 of the output value, so we can write it down as x%=116.96.
5. Now we have two simple equations:
1) 100%=2075
2) x%=116.96
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%=2075/116.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.96 is what percent of 2075

100%/x%=2075/116.96
(100/x)*x=(2075/116.96)*x       - we multiply both sides of the equation by x
100=17.741108071135*x       - we divide both sides of the equation by (17.741108071135) to get x
100/17.741108071135=x
5.6366265060241=x
x=5.6366265060241

now we have:
116.96 is 5.6366265060241% of 2075