What is 38.45678 percent of 6500 - 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 6500 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 6500 is 100%, so we can write it down as 6500=100%.
4. We know, that x is 38.45678% of the output value, so we can write it down as x=38.45678%.
5. Now we have two simple equations:
1) 6500=100%
2) x=38.45678%
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:
6500/x=100%/38.45678%
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 38.45678% of 6500

6500/x=100/38.45678
(6500/x)*x=(100/38.45678)*x       - we multiply both sides of the equation by x
6500=2.6003217118022*x       - we divide both sides of the equation by (2.6003217118022) to get x
6500/2.6003217118022=x
2499.6907=x
x=2499.6907

now we have:
38.45678% of 6500=2499.6907