66.67 is what percent of 16.67 - 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 16.67 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 16.67, so we can write it down as 100%=16.67.
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%=16.67
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%=16.67/66.67
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 16.67

100%/x%=16.67/66.67
(100/x)*x=(16.67/66.67)*x       - we multiply both sides of the equation by x
100=0.25003749812509*x       - we divide both sides of the equation by (0.25003749812509) to get x
100/0.25003749812509=x
399.9400119976=x
x=399.9400119976

now we have:
66.67 is 399.9400119976% of 16.67