501.69 is what percent of 3063.62 - 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 3063.62 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 3063.62, so we can write it down as 100%=3063.62.
4. We know, that x% equals 501.69 of the output value, so we can write it down as x%=501.69.
5. Now we have two simple equations:
1) 100%=3063.62
2) x%=501.69
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%=3063.62/501.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.69 is what percent of 3063.62

100%/x%=3063.62/501.69
(100/x)*x=(3063.62/501.69)*x       - we multiply both sides of the equation by x
100=6.1065996930375*x       - we divide both sides of the equation by (6.1065996930375) to get x
100/6.1065996930375=x
16.375725448979=x
x=16.375725448979

now we have:
501.69 is 16.375725448979% of 3063.62