166.55 is what percent of 100000 - 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 100000 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 100000, so we can write it down as 100%=100000.
4. We know, that x% equals 166.55 of the output value, so we can write it down as x%=166.55.
5. Now we have two simple equations:
1) 100%=100000
2) x%=166.55
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%=100000/166.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.55 is what percent of 100000

100%/x%=100000/166.55
(100/x)*x=(100000/166.55)*x       - we multiply both sides of the equation by x
100=600.42029420594*x       - we divide both sides of the equation by (600.42029420594) to get x
100/600.42029420594=x
0.16655=x
x=0.16655

now we have:
166.55 is 0.16655% of 100000