204.9 is what percent of 283.85 - 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 283.85 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 283.85, so we can write it down as 100%=283.85.
4. We know, that x% equals 204.9 of the output value, so we can write it down as x%=204.9.
5. Now we have two simple equations:
1) 100%=283.85
2) x%=204.9
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%=283.85/204.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.9 is what percent of 283.85

100%/x%=283.85/204.9
(100/x)*x=(283.85/204.9)*x       - we multiply both sides of the equation by x
100=1.3853099072718*x       - we divide both sides of the equation by (1.3853099072718) to get x
100/1.3853099072718=x
72.186013739651=x
x=72.186013739651

now we have:
204.9 is 72.186013739651% of 283.85