What is 6.7 percent of 6.7 - 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 6.7 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 6.7 is 100%, so we can write it down as 6.7=100%.
4. We know, that x is 6.7% of the output value, so we can write it down as x=6.7%.
5. Now we have two simple equations:
1) 6.7=100%
2) x=6.7%
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:
6.7/x=100%/6.7%
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 6.7% of 6.7

6.7/x=100/6.7
(6.7/x)*x=(100/6.7)*x       - we multiply both sides of the equation by x
6.7=14.925373134328*x       - we divide both sides of the equation by (14.925373134328) to get x
6.7/14.925373134328=x
0.4489=x
x=0.4489

now we have:
6.7% of 6.7=0.4489