596.5 is what percent of 770 - 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 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, so we can write it down as 100%=770.
4. We know, that x% equals 596.5 of the output value, so we can write it down as x%=596.5.
5. Now we have two simple equations:
1) 100%=770
2) x%=596.5
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%=770/596.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 596.5 is what percent of 770

100%/x%=770/596.5
(100/x)*x=(770/596.5)*x       - we multiply both sides of the equation by x
100=1.2908633696563*x       - we divide both sides of the equation by (1.2908633696563) to get x
100/1.2908633696563=x
77.467532467532=x
x=77.467532467532

now we have:
596.5 is 77.467532467532% of 770