66.67 is what percent of 1666.67 - 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 1666.67 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 1666.67, so we can write it down as 100%=1666.67.
4. We know, that x% equals 66.67 of the output value, so we can write it down as x%=66.67.
5. Now we have two simple equations:
1) 100%=1666.67
2) x%=66.67
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%=1666.67/66.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.67 is what percent of 1666.67

100%/x%=1666.67/66.67
(100/x)*x=(1666.67/66.67)*x       - we multiply both sides of the equation by x
100=24.998800059997*x       - we divide both sides of the equation by (24.998800059997) to get x
100/24.998800059997=x
4.000191999616=x
x=4.000191999616

now we have:
66.67 is 4.000191999616% of 1666.67