10.6 is what 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 100% equals 166.2, so we can write it down as 100%=166.2.
4. We know, that x% equals 10.6 of the output value, so we can write it down as x%=10.6.
5. Now we have two simple equations:
1) 100%=166.2
2) x%=10.6
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:
100%/x%=166.2/10.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.6 is what percent of 166.2

100%/x%=166.2/10.6
(100/x)*x=(166.2/10.6)*x       - we multiply both sides of the equation by x
100=15.679245283019*x       - we divide both sides of the equation by (15.679245283019) to get x
100/15.679245283019=x
6.3778580024067=x
x=6.3778580024067

now we have:
10.6 is 6.3778580024067% of 166.2