822.49 is what percent of 1105.77 - 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 1105.77 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 1105.77, so we can write it down as 100%=1105.77.
4. We know, that x% equals 822.49 of the output value, so we can write it down as x%=822.49.
5. Now we have two simple equations:
1) 100%=1105.77
2) x%=822.49
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%=1105.77/822.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 822.49 is what percent of 1105.77

100%/x%=1105.77/822.49
(100/x)*x=(1105.77/822.49)*x       - we multiply both sides of the equation by x
100=1.3444175613077*x       - we divide both sides of the equation by (1.3444175613077) to get x
100/1.3444175613077=x
74.381652604068=x
x=74.381652604068

now we have:
822.49 is 74.381652604068% of 1105.77