78.29 is what percent of 2245.2 - 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 2245.2 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 2245.2, so we can write it down as 100%=2245.2.
4. We know, that x% equals 78.29 of the output value, so we can write it down as x%=78.29.
5. Now we have two simple equations:
1) 100%=2245.2
2) x%=78.29
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%=2245.2/78.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.29 is what percent of 2245.2

100%/x%=2245.2/78.29
(100/x)*x=(2245.2/78.29)*x       - we multiply both sides of the equation by x
100=28.677992080726*x       - we divide both sides of the equation by (28.677992080726) to get x
100/28.677992080726=x
3.4869944771067=x
x=3.4869944771067

now we have:
78.29 is 3.4869944771067% of 2245.2