205.96 is what percent of 677.5 - 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 677.5 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 677.5, so we can write it down as 100%=677.5.
4. We know, that x% equals 205.96 of the output value, so we can write it down as x%=205.96.
5. Now we have two simple equations:
1) 100%=677.5
2) x%=205.96
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%=677.5/205.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.96 is what percent of 677.5

100%/x%=677.5/205.96
(100/x)*x=(677.5/205.96)*x       - we multiply both sides of the equation by x
100=3.2894736842105*x       - we divide both sides of the equation by (3.2894736842105) to get x
100/3.2894736842105=x
30.4=x
x=30.4

now we have:
205.96 is 30.4% of 677.5