12378.75 is what percent of 18000 - 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 18000 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 18000, so we can write it down as 100%=18000.
4. We know, that x% equals 12378.75 of the output value, so we can write it down as x%=12378.75.
5. Now we have two simple equations:
1) 100%=18000
2) x%=12378.75
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%=18000/12378.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12378.75 is what percent of 18000

100%/x%=18000/12378.75
(100/x)*x=(18000/12378.75)*x       - we multiply both sides of the equation by x
100=1.4541048167222*x       - we divide both sides of the equation by (1.4541048167222) to get x
100/1.4541048167222=x
68.770833333333=x
x=68.770833333333

now we have:
12378.75 is 68.770833333333% of 18000