0.25 is what percent of 3.12 - 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 3.12 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 3.12, so we can write it down as 100%=3.12.
4. We know, that x% equals 0.25 of the output value, so we can write it down as x%=0.25.
5. Now we have two simple equations:
1) 100%=3.12
2) x%=0.25
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%=3.12/0.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.25 is what percent of 3.12

100%/x%=3.12/0.25
(100/x)*x=(3.12/0.25)*x       - we multiply both sides of the equation by x
100=12.48*x       - we divide both sides of the equation by (12.48) to get x
100/12.48=x
8.0128205128205=x
x=8.0128205128205

now we have:
0.25 is 8.0128205128205% of 3.12