What is 0.65 percent of 6.65 - 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 6.65 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 6.65 is 100%, so we can write it down as 6.65=100%.
4. We know, that x is 0.65% of the output value, so we can write it down as x=0.65%.
5. Now we have two simple equations:
1) 6.65=100%
2) x=0.65%
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:
6.65/x=100%/0.65%
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 0.65% of 6.65

6.65/x=100/0.65
(6.65/x)*x=(100/0.65)*x       - we multiply both sides of the equation by x
6.65=153.84615384615*x       - we divide both sides of the equation by (153.84615384615) to get x
6.65/153.84615384615=x
0.043225=x
x=0.043225

now we have:
0.65% of 6.65=0.043225