What is 38400 percent of 36000 - 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 36000 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 36000 is 100%, so we can write it down as 36000=100%.
4. We know, that x is 38400% of the output value, so we can write it down as x=38400%.
5. Now we have two simple equations:
1) 36000=100%
2) x=38400%
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:
36000/x=100%/38400%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 38400% of 36000

36000/x=100/38400
(36000/x)*x=(100/38400)*x       - we multiply both sides of the equation by x
36000=0.0026041666666667*x       - we divide both sides of the equation by (0.0026041666666667) to get x
36000/0.0026041666666667=x
13824000=x
x=13824000

now we have:
38400% of 36000=13824000