2.25 is what percent of 11.8 - 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 11.8 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 11.8, so we can write it down as 100%=11.8.
4. We know, that x% equals 2.25 of the output value, so we can write it down as x%=2.25.
5. Now we have two simple equations:
1) 100%=11.8
2) x%=2.25
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%=11.8/2.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.25 is what percent of 11.8

100%/x%=11.8/2.25
(100/x)*x=(11.8/2.25)*x       - we multiply both sides of the equation by x
100=5.2444444444444*x       - we divide both sides of the equation by (5.2444444444444) to get x
100/5.2444444444444=x
19.067796610169=x
x=19.067796610169

now we have:
2.25 is 19.067796610169% of 11.8