What is 5.46 percent of 116.96 - 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 116.96 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 116.96 is 100%, so we can write it down as 116.96=100%.
4. We know, that x is 5.46% of the output value, so we can write it down as x=5.46%.
5. Now we have two simple equations:
1) 116.96=100%
2) x=5.46%
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:
116.96/x=100%/5.46%
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 5.46% of 116.96

116.96/x=100/5.46
(116.96/x)*x=(100/5.46)*x       - we multiply both sides of the equation by x
116.96=18.315018315018*x       - we divide both sides of the equation by (18.315018315018) to get x
116.96/18.315018315018=x
6.386016=x
x=6.386016

now we have:
5.46% of 116.96=6.386016