12464.78 is what percent of 150000 - 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 150000 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 150000, so we can write it down as 100%=150000.
4. We know, that x% equals 12464.78 of the output value, so we can write it down as x%=12464.78.
5. Now we have two simple equations:
1) 100%=150000
2) x%=12464.78
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%=150000/12464.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12464.78 is what percent of 150000

100%/x%=150000/12464.78
(100/x)*x=(150000/12464.78)*x       - we multiply both sides of the equation by x
100=12.033906735618*x       - we divide both sides of the equation by (12.033906735618) to get x
100/12.033906735618=x
8.3098533333333=x
x=8.3098533333333

now we have:
12464.78 is 8.3098533333333% of 150000