766.05 is what percent of 1165.35 - 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 1165.35 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 1165.35, so we can write it down as 100%=1165.35.
4. We know, that x% equals 766.05 of the output value, so we can write it down as x%=766.05.
5. Now we have two simple equations:
1) 100%=1165.35
2) x%=766.05
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%=1165.35/766.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 766.05 is what percent of 1165.35

100%/x%=1165.35/766.05
(100/x)*x=(1165.35/766.05)*x       - we multiply both sides of the equation by x
100=1.5212453495203*x       - we divide both sides of the equation by (1.5212453495203) to get x
100/1.5212453495203=x
65.735615909383=x
x=65.735615909383

now we have:
766.05 is 65.735615909383% of 1165.35