166.66 is what percent of 2916.67 - 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 2916.67 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 2916.67, so we can write it down as 100%=2916.67.
4. We know, that x% equals 166.66 of the output value, so we can write it down as x%=166.66.
5. Now we have two simple equations:
1) 100%=2916.67
2) x%=166.66
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%=2916.67/166.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.66 is what percent of 2916.67

100%/x%=2916.67/166.66
(100/x)*x=(2916.67/166.66)*x       - we multiply both sides of the equation by x
100=17.500720028801*x       - we divide both sides of the equation by (17.500720028801) to get x
100/17.500720028801=x
5.7140506125136=x
x=5.7140506125136

now we have:
166.66 is 5.7140506125136% of 2916.67