What is 38400 percent of 1.3 - 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 1.3 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 1.3 is 100%, so we can write it down as 1.3=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) 1.3=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:
1.3/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 1.3

1.3/x=100/38400
(1.3/x)*x=(100/38400)*x       - we multiply both sides of the equation by x
1.3=0.0026041666666667*x       - we divide both sides of the equation by (0.0026041666666667) to get x
1.3/0.0026041666666667=x
499.2=x
x=499.2

now we have:
38400% of 1.3=499.2