296.64 is what percent of 1160.12 - 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 1160.12 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 1160.12, so we can write it down as 100%=1160.12.
4. We know, that x% equals 296.64 of the output value, so we can write it down as x%=296.64.
5. Now we have two simple equations:
1) 100%=1160.12
2) x%=296.64
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%=1160.12/296.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.64 is what percent of 1160.12

100%/x%=1160.12/296.64
(100/x)*x=(1160.12/296.64)*x       - we multiply both sides of the equation by x
100=3.9108683926645*x       - we divide both sides of the equation by (3.9108683926645) to get x
100/3.9108683926645=x
25.569768644623=x
x=25.569768644623

now we have:
296.64 is 25.569768644623% of 1160.12