25.56 is what percent of 30.06 - 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 30.06 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 30.06, so we can write it down as 100%=30.06.
4. We know, that x% equals 25.56 of the output value, so we can write it down as x%=25.56.
5. Now we have two simple equations:
1) 100%=30.06
2) x%=25.56
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%=30.06/25.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.56 is what percent of 30.06

100%/x%=30.06/25.56
(100/x)*x=(30.06/25.56)*x       - we multiply both sides of the equation by x
100=1.1760563380282*x       - we divide both sides of the equation by (1.1760563380282) to get x
100/1.1760563380282=x
85.02994011976=x
x=85.02994011976

now we have:
25.56 is 85.02994011976% of 30.06