269.39 is what percent of 328.95 - 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 328.95 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 328.95, so we can write it down as 100%=328.95.
4. We know, that x% equals 269.39 of the output value, so we can write it down as x%=269.39.
5. Now we have two simple equations:
1) 100%=328.95
2) x%=269.39
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%=328.95/269.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.39 is what percent of 328.95

100%/x%=328.95/269.39
(100/x)*x=(328.95/269.39)*x       - we multiply both sides of the equation by x
100=1.2210920969598*x       - we divide both sides of the equation by (1.2210920969598) to get x
100/1.2210920969598=x
81.893904848761=x
x=81.893904848761

now we have:
269.39 is 81.893904848761% of 328.95