1216.5 is what percent of 3010.5 - 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 3010.5 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 3010.5, so we can write it down as 100%=3010.5.
4. We know, that x% equals 1216.5 of the output value, so we can write it down as x%=1216.5.
5. Now we have two simple equations:
1) 100%=3010.5
2) x%=1216.5
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%=3010.5/1216.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1216.5 is what percent of 3010.5

100%/x%=3010.5/1216.5
(100/x)*x=(3010.5/1216.5)*x       - we multiply both sides of the equation by x
100=2.4747225647349*x       - we divide both sides of the equation by (2.4747225647349) to get x
100/2.4747225647349=x
40.408570004983=x
x=40.408570004983

now we have:
1216.5 is 40.408570004983% of 3010.5