255.12 is what percent of 2916.67 - 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 2916.67 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 2916.67, so we can write it down as 100%=2916.67.
4. We know, that x% equals 255.12 of the output value, so we can write it down as x%=255.12.
5. Now we have two simple equations:
1) 100%=2916.67
2) x%=255.12
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%=2916.67/255.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.12 is what percent of 2916.67

100%/x%=2916.67/255.12
(100/x)*x=(2916.67/255.12)*x       - we multiply both sides of the equation by x
100=11.432541549075*x       - we divide both sides of the equation by (11.432541549075) to get x
100/11.432541549075=x
8.7469614320441=x
x=8.7469614320441

now we have:
255.12 is 8.7469614320441% of 2916.67