782.3 is what percent of 1262.8 - 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 1262.8 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 1262.8, so we can write it down as 100%=1262.8.
4. We know, that x% equals 782.3 of the output value, so we can write it down as x%=782.3.
5. Now we have two simple equations:
1) 100%=1262.8
2) x%=782.3
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%=1262.8/782.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 782.3 is what percent of 1262.8

100%/x%=1262.8/782.3
(100/x)*x=(1262.8/782.3)*x       - we multiply both sides of the equation by x
100=1.6142144957178*x       - we divide both sides of the equation by (1.6142144957178) to get x
100/1.6142144957178=x
61.949635730124=x
x=61.949635730124

now we have:
782.3 is 61.949635730124% of 1262.8