23.78 is what percent of 1646.5 - 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 1646.5 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 1646.5, so we can write it down as 100%=1646.5.
4. We know, that x% equals 23.78 of the output value, so we can write it down as x%=23.78.
5. Now we have two simple equations:
1) 100%=1646.5
2) x%=23.78
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%=1646.5/23.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.78 is what percent of 1646.5

100%/x%=1646.5/23.78
(100/x)*x=(1646.5/23.78)*x       - we multiply both sides of the equation by x
100=69.238856181665*x       - we divide both sides of the equation by (69.238856181665) to get x
100/69.238856181665=x
1.4442757364106=x
x=1.4442757364106

now we have:
23.78 is 1.4442757364106% of 1646.5