What is 38.4615 percent of 26000 - 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 26000 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 26000 is 100%, so we can write it down as 26000=100%.
4. We know, that x is 38.4615% of the output value, so we can write it down as x=38.4615%.
5. Now we have two simple equations:
1) 26000=100%
2) x=38.4615%
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:
26000/x=100%/38.4615%
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 38.4615% of 26000

26000/x=100/38.4615
(26000/x)*x=(100/38.4615)*x       - we multiply both sides of the equation by x
26000=2.6000026000026*x       - we divide both sides of the equation by (2.6000026000026) to get x
26000/2.6000026000026=x
9999.99=x
x=9999.99

now we have:
38.4615% of 26000=9999.99