303.6 is what percent of 261.2 - 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 261.2 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 261.2, so we can write it down as 100%=261.2.
4. We know, that x% equals 303.6 of the output value, so we can write it down as x%=303.6.
5. Now we have two simple equations:
1) 100%=261.2
2) x%=303.6
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%=261.2/303.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 303.6 is what percent of 261.2

100%/x%=261.2/303.6
(100/x)*x=(261.2/303.6)*x       - we multiply both sides of the equation by x
100=0.86034255599473*x       - we divide both sides of the equation by (0.86034255599473) to get x
100/0.86034255599473=x
116.23277182236=x
x=116.23277182236

now we have:
303.6 is 116.23277182236% of 261.2