39.45 is what percent of 770.6 - 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 770.6 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 770.6, so we can write it down as 100%=770.6.
4. We know, that x% equals 39.45 of the output value, so we can write it down as x%=39.45.
5. Now we have two simple equations:
1) 100%=770.6
2) x%=39.45
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%=770.6/39.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.45 is what percent of 770.6

100%/x%=770.6/39.45
(100/x)*x=(770.6/39.45)*x       - we multiply both sides of the equation by x
100=19.533586818758*x       - we divide both sides of the equation by (19.533586818758) to get x
100/19.533586818758=x
5.1193874902673=x
x=5.1193874902673

now we have:
39.45 is 5.1193874902673% of 770.6