What is 12.676056338028 percent of 42.88 - 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 42.88 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 42.88 is 100%, so we can write it down as 42.88=100%.
4. We know, that x is 12.676056338028% of the output value, so we can write it down as x=12.676056338028%.
5. Now we have two simple equations:
1) 42.88=100%
2) x=12.676056338028%
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:
42.88/x=100%/12.676056338028%
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 12.676056338028% of 42.88

42.88/x=100/12.676056338028
(42.88/x)*x=(100/12.676056338028)*x       - we multiply both sides of the equation by x
42.88=7.888888888889*x       - we divide both sides of the equation by (7.888888888889) to get x
42.88/7.888888888889=x
5.4354929577464=x
x=5.4354929577464

now we have:
12.676056338028% of 42.88=5.4354929577464