18.45 is what percent of 225.75 - 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 225.75 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 225.75, so we can write it down as 100%=225.75.
4. We know, that x% equals 18.45 of the output value, so we can write it down as x%=18.45.
5. Now we have two simple equations:
1) 100%=225.75
2) x%=18.45
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%=225.75/18.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.45 is what percent of 225.75

100%/x%=225.75/18.45
(100/x)*x=(225.75/18.45)*x       - we multiply both sides of the equation by x
100=12.235772357724*x       - we divide both sides of the equation by (12.235772357724) to get x
100/12.235772357724=x
8.1727574750831=x
x=8.1727574750831

now we have:
18.45 is 8.1727574750831% of 225.75