25.4 is what percent of 31.3 - 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 31.3 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 31.3, so we can write it down as 100%=31.3.
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%=31.3
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%=31.3/25.4
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 31.3

100%/x%=31.3/25.4
(100/x)*x=(31.3/25.4)*x       - we multiply both sides of the equation by x
100=1.2322834645669*x       - we divide both sides of the equation by (1.2322834645669) to get x
100/1.2322834645669=x
81.150159744409=x
x=81.150159744409

now we have:
25.4 is 81.150159744409% of 31.3