25.85 is what percent of 85.34 - 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 85.34 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 85.34, so we can write it down as 100%=85.34.
4. We know, that x% equals 25.85 of the output value, so we can write it down as x%=25.85.
5. Now we have two simple equations:
1) 100%=85.34
2) x%=25.85
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%=85.34/25.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.85 is what percent of 85.34

100%/x%=85.34/25.85
(100/x)*x=(85.34/25.85)*x       - we multiply both sides of the equation by x
100=3.3013539651838*x       - we divide both sides of the equation by (3.3013539651838) to get x
100/3.3013539651838=x
30.290602296696=x
x=30.290602296696

now we have:
25.85 is 30.290602296696% of 85.34