802.75 is what percent of 2546.33 - 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 2546.33 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 2546.33, so we can write it down as 100%=2546.33.
4. We know, that x% equals 802.75 of the output value, so we can write it down as x%=802.75.
5. Now we have two simple equations:
1) 100%=2546.33
2) x%=802.75
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%=2546.33/802.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 802.75 is what percent of 2546.33

100%/x%=2546.33/802.75
(100/x)*x=(2546.33/802.75)*x       - we multiply both sides of the equation by x
100=3.1720087200249*x       - we divide both sides of the equation by (3.1720087200249) to get x
100/3.1720087200249=x
31.525764531699=x
x=31.525764531699

now we have:
802.75 is 31.525764531699% of 2546.33