25.6 is what percent of 67.1 - 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 67.1 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 67.1, so we can write it down as 100%=67.1.
4. We know, that x% equals 25.6 of the output value, so we can write it down as x%=25.6.
5. Now we have two simple equations:
1) 100%=67.1
2) x%=25.6
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%=67.1/25.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.6 is what percent of 67.1

100%/x%=67.1/25.6
(100/x)*x=(67.1/25.6)*x       - we multiply both sides of the equation by x
100=2.62109375*x       - we divide both sides of the equation by (2.62109375) to get x
100/2.62109375=x
38.1520119225=x
x=38.1520119225

now we have:
25.6 is 38.1520119225% of 67.1