113.36 is what percent of 3227.2 - 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 3227.2 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 3227.2, so we can write it down as 100%=3227.2.
4. We know, that x% equals 113.36 of the output value, so we can write it down as x%=113.36.
5. Now we have two simple equations:
1) 100%=3227.2
2) x%=113.36
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%=3227.2/113.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.36 is what percent of 3227.2

100%/x%=3227.2/113.36
(100/x)*x=(3227.2/113.36)*x       - we multiply both sides of the equation by x
100=28.468595624559*x       - we divide both sides of the equation by (28.468595624559) to get x
100/28.468595624559=x
3.5126425384234=x
x=3.5126425384234

now we have:
113.36 is 3.5126425384234% of 3227.2