2.33 is what percent of 5.13 - 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 5.13 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 5.13, so we can write it down as 100%=5.13.
4. We know, that x% equals 2.33 of the output value, so we can write it down as x%=2.33.
5. Now we have two simple equations:
1) 100%=5.13
2) x%=2.33
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%=5.13/2.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.33 is what percent of 5.13

100%/x%=5.13/2.33
(100/x)*x=(5.13/2.33)*x       - we multiply both sides of the equation by x
100=2.2017167381974*x       - we divide both sides of the equation by (2.2017167381974) to get x
100/2.2017167381974=x
45.41910331384=x
x=45.41910331384

now we have:
2.33 is 45.41910331384% of 5.13