296.75 is what percent of 1311.83 - 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 1311.83 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 1311.83, so we can write it down as 100%=1311.83.
4. We know, that x% equals 296.75 of the output value, so we can write it down as x%=296.75.
5. Now we have two simple equations:
1) 100%=1311.83
2) x%=296.75
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%=1311.83/296.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.75 is what percent of 1311.83

100%/x%=1311.83/296.75
(100/x)*x=(1311.83/296.75)*x       - we multiply both sides of the equation by x
100=4.4206571187869*x       - we divide both sides of the equation by (4.4206571187869) to get x
100/4.4206571187869=x
22.62107132784=x
x=22.62107132784

now we have:
296.75 is 22.62107132784% of 1311.83