25.4 is what percent of 1.25 - 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 1.25 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 1.25, so we can write it down as 100%=1.25.
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%=1.25
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%=1.25/25.4
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 1.25

100%/x%=1.25/25.4
(100/x)*x=(1.25/25.4)*x       - we multiply both sides of the equation by x
100=0.049212598425197*x       - we divide both sides of the equation by (0.049212598425197) to get x
100/0.049212598425197=x
2032=x
x=2032

now we have:
25.4 is 2032% of 1.25