740.8 is what percent of 1224.6 - 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 1224.6 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 1224.6, so we can write it down as 100%=1224.6.
4. We know, that x% equals 740.8 of the output value, so we can write it down as x%=740.8.
5. Now we have two simple equations:
1) 100%=1224.6
2) x%=740.8
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%=1224.6/740.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 740.8 is what percent of 1224.6

100%/x%=1224.6/740.8
(100/x)*x=(1224.6/740.8)*x       - we multiply both sides of the equation by x
100=1.6530777537797*x       - we divide both sides of the equation by (1.6530777537797) to get x
100/1.6530777537797=x
60.493222276662=x
x=60.493222276662

now we have:
740.8 is 60.493222276662% of 1224.6