12667.69 is what percent of 18145.84 - 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 18145.84 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 18145.84, so we can write it down as 100%=18145.84.
4. We know, that x% equals 12667.69 of the output value, so we can write it down as x%=12667.69.
5. Now we have two simple equations:
1) 100%=18145.84
2) x%=12667.69
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%=18145.84/12667.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12667.69 is what percent of 18145.84

100%/x%=18145.84/12667.69
(100/x)*x=(18145.84/12667.69)*x       - we multiply both sides of the equation by x
100=1.4324505888603*x       - we divide both sides of the equation by (1.4324505888603) to get x
100/1.4324505888603=x
69.81043589054=x
x=69.81043589054

now we have:
12667.69 is 69.81043589054% of 18145.84