3.6 is what percent of 166.6 - 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 166.6 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 166.6, so we can write it down as 100%=166.6.
4. We know, that x% equals 3.6 of the output value, so we can write it down as x%=3.6.
5. Now we have two simple equations:
1) 100%=166.6
2) x%=3.6
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%=166.6/3.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.6 is what percent of 166.6

100%/x%=166.6/3.6
(100/x)*x=(166.6/3.6)*x       - we multiply both sides of the equation by x
100=46.277777777778*x       - we divide both sides of the equation by (46.277777777778) to get x
100/46.277777777778=x
2.1608643457383=x
x=2.1608643457383

now we have:
3.6 is 2.1608643457383% of 166.6