66666.67 is what percent of 166666.67 - 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 166666.67 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 166666.67, so we can write it down as 100%=166666.67.
4. We know, that x% equals 66666.67 of the output value, so we can write it down as x%=66666.67.
5. Now we have two simple equations:
1) 100%=166666.67
2) x%=66666.67
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%=166666.67/66666.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66666.67 is what percent of 166666.67

100%/x%=166666.67/66666.67
(100/x)*x=(166666.67/66666.67)*x       - we multiply both sides of the equation by x
100=2.499999925*x       - we divide both sides of the equation by (2.499999925) to get x
100/2.499999925=x
40.0000012=x
x=40.0000012

now we have:
66666.67 is 40.0000012% of 166666.67