116.58 is what percent of 8063.67 - 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 8063.67 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 8063.67, so we can write it down as 100%=8063.67.
4. We know, that x% equals 116.58 of the output value, so we can write it down as x%=116.58.
5. Now we have two simple equations:
1) 100%=8063.67
2) x%=116.58
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%=8063.67/116.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.58 is what percent of 8063.67

100%/x%=8063.67/116.58
(100/x)*x=(8063.67/116.58)*x       - we multiply both sides of the equation by x
100=69.16855378281*x       - we divide both sides of the equation by (69.16855378281) to get x
100/69.16855378281=x
1.4457436874277=x
x=1.4457436874277

now we have:
116.58 is 1.4457436874277% of 8063.67