What is 78.5 percent of 6.5 - 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 6.5 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 6.5 is 100%, so we can write it down as 6.5=100%.
4. We know, that x is 78.5% of the output value, so we can write it down as x=78.5%.
5. Now we have two simple equations:
1) 6.5=100%
2) x=78.5%
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:
6.5/x=100%/78.5%
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 78.5% of 6.5

6.5/x=100/78.5
(6.5/x)*x=(100/78.5)*x       - we multiply both sides of the equation by x
6.5=1.2738853503185*x       - we divide both sides of the equation by (1.2738853503185) to get x
6.5/1.2738853503185=x
5.1025=x
x=5.1025

now we have:
78.5% of 6.5=5.1025