What is 5.31 percent of 166.2 - 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 166.2 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 166.2 is 100%, so we can write it down as 166.2=100%.
4. We know, that x is 5.31% of the output value, so we can write it down as x=5.31%.
5. Now we have two simple equations:
1) 166.2=100%
2) x=5.31%
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:
166.2/x=100%/5.31%
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 5.31% of 166.2

166.2/x=100/5.31
(166.2/x)*x=(100/5.31)*x       - we multiply both sides of the equation by x
166.2=18.832391713748*x       - we divide both sides of the equation by (18.832391713748) to get x
166.2/18.832391713748=x
8.82522=x
x=8.82522

now we have:
5.31% of 166.2=8.82522