77 is what percent of 198 - 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 198 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 198, so we can write it down as 100%=198.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=198
2) x%=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%=198/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 198

100%/x%=198/77
(100/x)*x=(198/77)*x       - we multiply both sides of the equation by x
100=2.5714285714286*x       - we divide both sides of the equation by (2.5714285714286) to get x
100/2.5714285714286=x
38.888888888889=x
x=38.888888888889

now we have:
77 is 38.888888888889% of 198