618.39 is what percent of 785.07 - 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 785.07 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 785.07, so we can write it down as 100%=785.07.
4. We know, that x% equals 618.39 of the output value, so we can write it down as x%=618.39.
5. Now we have two simple equations:
1) 100%=785.07
2) x%=618.39
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%=785.07/618.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 618.39 is what percent of 785.07

100%/x%=785.07/618.39
(100/x)*x=(785.07/618.39)*x       - we multiply both sides of the equation by x
100=1.2695386406637*x       - we divide both sides of the equation by (1.2695386406637) to get x
100/1.2695386406637=x
78.768772211395=x
x=78.768772211395

now we have:
618.39 is 78.768772211395% of 785.07