What is 6.6 percent of 42.7 - 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 42.7 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 42.7 is 100%, so we can write it down as 42.7=100%.
4. We know, that x is 6.6% of the output value, so we can write it down as x=6.6%.
5. Now we have two simple equations:
1) 42.7=100%
2) x=6.6%
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:
42.7/x=100%/6.6%
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 6.6% of 42.7

42.7/x=100/6.6
(42.7/x)*x=(100/6.6)*x       - we multiply both sides of the equation by x
42.7=15.151515151515*x       - we divide both sides of the equation by (15.151515151515) to get x
42.7/15.151515151515=x
2.8182=x
x=2.8182

now we have:
6.6% of 42.7=2.8182