166.67 is what percent of 3333.33 - 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 3333.33 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 3333.33, so we can write it down as 100%=3333.33.
4. We know, that x% equals 166.67 of the output value, so we can write it down as x%=166.67.
5. Now we have two simple equations:
1) 100%=3333.33
2) x%=166.67
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%=3333.33/166.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.67 is what percent of 3333.33

100%/x%=3333.33/166.67
(100/x)*x=(3333.33/166.67)*x       - we multiply both sides of the equation by x
100=19.9995800084*x       - we divide both sides of the equation by (19.9995800084) to get x
100/19.9995800084=x
5.000105000105=x
x=5.000105000105

now we have:
166.67 is 5.000105000105% of 3333.33