3346.5 is what percent of 66975 - 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 66975 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 66975, so we can write it down as 100%=66975.
4. We know, that x% equals 3346.5 of the output value, so we can write it down as x%=3346.5.
5. Now we have two simple equations:
1) 100%=66975
2) x%=3346.5
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%=66975/3346.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3346.5 is what percent of 66975

100%/x%=66975/3346.5
(100/x)*x=(66975/3346.5)*x       - we multiply both sides of the equation by x
100=20.013446884805*x       - we divide both sides of the equation by (20.013446884805) to get x
100/20.013446884805=x
4.996640537514=x
x=4.996640537514

now we have:
3346.5 is 4.996640537514% of 66975