0.25 is what percent of 11.2 - 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 11.2 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 11.2, so we can write it down as 100%=11.2.
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%=11.2
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%=11.2/0.25
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 11.2

100%/x%=11.2/0.25
(100/x)*x=(11.2/0.25)*x       - we multiply both sides of the equation by x
100=44.8*x       - we divide both sides of the equation by (44.8) to get x
100/44.8=x
2.2321428571429=x
x=2.2321428571429

now we have:
0.25 is 2.2321428571429% of 11.2