366.67 is what percent of 1666.66 - 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 1666.66 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 1666.66, so we can write it down as 100%=1666.66.
4. We know, that x% equals 366.67 of the output value, so we can write it down as x%=366.67.
5. Now we have two simple equations:
1) 100%=1666.66
2) x%=366.67
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%=1666.66/366.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.67 is what percent of 1666.66

100%/x%=1666.66/366.67
(100/x)*x=(1666.66/366.67)*x       - we multiply both sides of the equation by x
100=4.5453950418633*x       - we divide both sides of the equation by (4.5453950418633) to get x
100/4.5453950418633=x
22.000288001152=x
x=22.000288001152

now we have:
366.67 is 22.000288001152% of 1666.66