2.86 is what percent of 11.25 - 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 11.25 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 11.25, so we can write it down as 100%=11.25.
4. We know, that x% equals 2.86 of the output value, so we can write it down as x%=2.86.
5. Now we have two simple equations:
1) 100%=11.25
2) x%=2.86
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%=11.25/2.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.86 is what percent of 11.25

100%/x%=11.25/2.86
(100/x)*x=(11.25/2.86)*x       - we multiply both sides of the equation by x
100=3.9335664335664*x       - we divide both sides of the equation by (3.9335664335664) to get x
100/3.9335664335664=x
25.422222222222=x
x=25.422222222222

now we have:
2.86 is 25.422222222222% of 11.25