2.36 is what percent of 113.44 - 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 113.44 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 113.44, so we can write it down as 100%=113.44.
4. We know, that x% equals 2.36 of the output value, so we can write it down as x%=2.36.
5. Now we have two simple equations:
1) 100%=113.44
2) x%=2.36
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%=113.44/2.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.36 is what percent of 113.44

100%/x%=113.44/2.36
(100/x)*x=(113.44/2.36)*x       - we multiply both sides of the equation by x
100=48.067796610169*x       - we divide both sides of the equation by (48.067796610169) to get x
100/48.067796610169=x
2.080394922426=x
x=2.080394922426

now we have:
2.36 is 2.080394922426% of 113.44