85.19 is what percent of 25.9 - 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 25.9 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 25.9, so we can write it down as 100%=25.9.
4. We know, that x% equals 85.19 of the output value, so we can write it down as x%=85.19.
5. Now we have two simple equations:
1) 100%=25.9
2) x%=85.19
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%=25.9/85.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.19 is what percent of 25.9

100%/x%=25.9/85.19
(100/x)*x=(25.9/85.19)*x       - we multiply both sides of the equation by x
100=0.30402629416598*x       - we divide both sides of the equation by (0.30402629416598) to get x
100/0.30402629416598=x
328.91891891892=x
x=328.91891891892

now we have:
85.19 is 328.91891891892% of 25.9