25.4 is what percent of 155.6 - 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 155.6 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 155.6, so we can write it down as 100%=155.6.
4. We know, that x% equals 25.4 of the output value, so we can write it down as x%=25.4.
5. Now we have two simple equations:
1) 100%=155.6
2) x%=25.4
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%=155.6/25.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.4 is what percent of 155.6

100%/x%=155.6/25.4
(100/x)*x=(155.6/25.4)*x       - we multiply both sides of the equation by x
100=6.1259842519685*x       - we divide both sides of the equation by (6.1259842519685) to get x
100/6.1259842519685=x
16.323907455013=x
x=16.323907455013

now we have:
25.4 is 16.323907455013% of 155.6