46.8 is what percent of 72.3 - 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 72.3 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 72.3, so we can write it down as 100%=72.3.
4. We know, that x% equals 46.8 of the output value, so we can write it down as x%=46.8.
5. Now we have two simple equations:
1) 100%=72.3
2) x%=46.8
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%=72.3/46.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.8 is what percent of 72.3

100%/x%=72.3/46.8
(100/x)*x=(72.3/46.8)*x       - we multiply both sides of the equation by x
100=1.5448717948718*x       - we divide both sides of the equation by (1.5448717948718) to get x
100/1.5448717948718=x
64.730290456432=x
x=64.730290456432

now we have:
46.8 is 64.730290456432% of 72.3