23.8 is what percent of 50.7 - 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 50.7 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 50.7, so we can write it down as 100%=50.7.
4. We know, that x% equals 23.8 of the output value, so we can write it down as x%=23.8.
5. Now we have two simple equations:
1) 100%=50.7
2) x%=23.8
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%=50.7/23.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.8 is what percent of 50.7

100%/x%=50.7/23.8
(100/x)*x=(50.7/23.8)*x       - we multiply both sides of the equation by x
100=2.1302521008403*x       - we divide both sides of the equation by (2.1302521008403) to get x
100/2.1302521008403=x
46.942800788955=x
x=46.942800788955

now we have:
23.8 is 46.942800788955% of 50.7