97.77 is what percent of 1966 - 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 1966 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 1966, so we can write it down as 100%=1966.
4. We know, that x% equals 97.77 of the output value, so we can write it down as x%=97.77.
5. Now we have two simple equations:
1) 100%=1966
2) x%=97.77
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%=1966/97.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.77 is what percent of 1966

100%/x%=1966/97.77
(100/x)*x=(1966/97.77)*x       - we multiply both sides of the equation by x
100=20.108417715046*x       - we divide both sides of the equation by (20.108417715046) to get x
100/20.108417715046=x
4.9730417090539=x
x=4.9730417090539

now we have:
97.77 is 4.9730417090539% of 1966