66.55 is what percent of 4075.66 - 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 4075.66 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 4075.66, so we can write it down as 100%=4075.66.
4. We know, that x% equals 66.55 of the output value, so we can write it down as x%=66.55.
5. Now we have two simple equations:
1) 100%=4075.66
2) x%=66.55
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%=4075.66/66.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.55 is what percent of 4075.66

100%/x%=4075.66/66.55
(100/x)*x=(4075.66/66.55)*x       - we multiply both sides of the equation by x
100=61.24207362885*x       - we divide both sides of the equation by (61.24207362885) to get x
100/61.24207362885=x
1.6328643704333=x
x=1.6328643704333

now we have:
66.55 is 1.6328643704333% of 4075.66