16678.45 is what percent of 25256.16 - 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 25256.16 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 25256.16, so we can write it down as 100%=25256.16.
4. We know, that x% equals 16678.45 of the output value, so we can write it down as x%=16678.45.
5. Now we have two simple equations:
1) 100%=25256.16
2) x%=16678.45
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%=25256.16/16678.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16678.45 is what percent of 25256.16

100%/x%=25256.16/16678.45
(100/x)*x=(25256.16/16678.45)*x       - we multiply both sides of the equation by x
100=1.5142989906136*x       - we divide both sides of the equation by (1.5142989906136) to get x
100/1.5142989906136=x
66.037156875788=x
x=66.037156875788

now we have:
16678.45 is 66.037156875788% of 25256.16