23.33 is what percent of 37.82 - 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 37.82 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 37.82, so we can write it down as 100%=37.82.
4. We know, that x% equals 23.33 of the output value, so we can write it down as x%=23.33.
5. Now we have two simple equations:
1) 100%=37.82
2) x%=23.33
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%=37.82/23.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.33 is what percent of 37.82

100%/x%=37.82/23.33
(100/x)*x=(37.82/23.33)*x       - we multiply both sides of the equation by x
100=1.621088726961*x       - we divide both sides of the equation by (1.621088726961) to get x
100/1.621088726961=x
61.686938127975=x
x=61.686938127975

now we have:
23.33 is 61.686938127975% of 37.82