25.95 is what percent of 204.05 - 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 204.05 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 204.05, so we can write it down as 100%=204.05.
4. We know, that x% equals 25.95 of the output value, so we can write it down as x%=25.95.
5. Now we have two simple equations:
1) 100%=204.05
2) x%=25.95
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%=204.05/25.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.95 is what percent of 204.05

100%/x%=204.05/25.95
(100/x)*x=(204.05/25.95)*x       - we multiply both sides of the equation by x
100=7.8631984585742*x       - we divide both sides of the equation by (7.8631984585742) to get x
100/7.8631984585742=x
12.717471208037=x
x=12.717471208037

now we have:
25.95 is 12.717471208037% of 204.05