23.37 is what percent of 35.8 - 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 35.8 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 35.8, so we can write it down as 100%=35.8.
4. We know, that x% equals 23.37 of the output value, so we can write it down as x%=23.37.
5. Now we have two simple equations:
1) 100%=35.8
2) x%=23.37
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%=35.8/23.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.37 is what percent of 35.8

100%/x%=35.8/23.37
(100/x)*x=(35.8/23.37)*x       - we multiply both sides of the equation by x
100=1.5318784766795*x       - we divide both sides of the equation by (1.5318784766795) to get x
100/1.5318784766795=x
65.279329608939=x
x=65.279329608939

now we have:
23.37 is 65.279329608939% of 35.8