18.64 is what percent of 2.25 - 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 2.25 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 2.25, so we can write it down as 100%=2.25.
4. We know, that x% equals 18.64 of the output value, so we can write it down as x%=18.64.
5. Now we have two simple equations:
1) 100%=2.25
2) x%=18.64
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%=2.25/18.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.64 is what percent of 2.25

100%/x%=2.25/18.64
(100/x)*x=(2.25/18.64)*x       - we multiply both sides of the equation by x
100=0.12070815450644*x       - we divide both sides of the equation by (0.12070815450644) to get x
100/0.12070815450644=x
828.44444444444=x
x=828.44444444444

now we have:
18.64 is 828.44444444444% of 2.25