16.2 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 16.2 of the output value, so we can write it down as x%=16.2.
5. Now we have two simple equations:
1) 100%=166.2
2) x%=16.2
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%=166.2/16.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.2 is what percent of 166.2

100%/x%=166.2/16.2
(100/x)*x=(166.2/16.2)*x       - we multiply both sides of the equation by x
100=10.259259259259*x       - we divide both sides of the equation by (10.259259259259) to get x
100/10.259259259259=x
9.7472924187726=x
x=9.7472924187726

now we have:
16.2 is 9.7472924187726% of 166.2