77.64 is what percent of 1980 - 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 1980 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 1980, so we can write it down as 100%=1980.
4. We know, that x% equals 77.64 of the output value, so we can write it down as x%=77.64.
5. Now we have two simple equations:
1) 100%=1980
2) x%=77.64
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%=1980/77.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.64 is what percent of 1980

100%/x%=1980/77.64
(100/x)*x=(1980/77.64)*x       - we multiply both sides of the equation by x
100=25.502318392581*x       - we divide both sides of the equation by (25.502318392581) to get x
100/25.502318392581=x
3.9212121212121=x
x=3.9212121212121

now we have:
77.64 is 3.9212121212121% of 1980