269.17 is what percent of 730.85 - 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 730.85 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 730.85, so we can write it down as 100%=730.85.
4. We know, that x% equals 269.17 of the output value, so we can write it down as x%=269.17.
5. Now we have two simple equations:
1) 100%=730.85
2) x%=269.17
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%=730.85/269.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.17 is what percent of 730.85

100%/x%=730.85/269.17
(100/x)*x=(730.85/269.17)*x       - we multiply both sides of the equation by x
100=2.7151985733923*x       - we divide both sides of the equation by (2.7151985733923) to get x
100/2.7151985733923=x
36.829718820551=x
x=36.829718820551

now we have:
269.17 is 36.829718820551% of 730.85