18.63 is what percent of 23.7 - 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 23.7 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 23.7, so we can write it down as 100%=23.7.
4. We know, that x% equals 18.63 of the output value, so we can write it down as x%=18.63.
5. Now we have two simple equations:
1) 100%=23.7
2) x%=18.63
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%=23.7/18.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.63 is what percent of 23.7

100%/x%=23.7/18.63
(100/x)*x=(23.7/18.63)*x       - we multiply both sides of the equation by x
100=1.2721417069243*x       - we divide both sides of the equation by (1.2721417069243) to get x
100/1.2721417069243=x
78.607594936709=x
x=78.607594936709

now we have:
18.63 is 78.607594936709% of 23.7