645.83 is what percent of 775 - 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 775 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 775, so we can write it down as 100%=775.
4. We know, that x% equals 645.83 of the output value, so we can write it down as x%=645.83.
5. Now we have two simple equations:
1) 100%=775
2) x%=645.83
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%=775/645.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.83 is what percent of 775

100%/x%=775/645.83
(100/x)*x=(775/645.83)*x       - we multiply both sides of the equation by x
100=1.2000061935804*x       - we divide both sides of the equation by (1.2000061935804) to get x
100/1.2000061935804=x
83.332903225806=x
x=83.332903225806

now we have:
645.83 is 83.332903225806% of 775