420.3 is what percent of 2916.66 - 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 2916.66 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 2916.66, so we can write it down as 100%=2916.66.
4. We know, that x% equals 420.3 of the output value, so we can write it down as x%=420.3.
5. Now we have two simple equations:
1) 100%=2916.66
2) x%=420.3
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%=2916.66/420.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.3 is what percent of 2916.66

100%/x%=2916.66/420.3
(100/x)*x=(2916.66/420.3)*x       - we multiply both sides of the equation by x
100=6.939471805853*x       - we divide both sides of the equation by (6.939471805853) to get x
100/6.939471805853=x
14.410318652157=x
x=14.410318652157

now we have:
420.3 is 14.410318652157% of 2916.66