77 is what percent of 559 - 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 559 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 559, so we can write it down as 100%=559.
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%=559
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%=559/77
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 559

100%/x%=559/77
(100/x)*x=(559/77)*x       - we multiply both sides of the equation by x
100=7.2597402597403*x       - we divide both sides of the equation by (7.2597402597403) to get x
100/7.2597402597403=x
13.774597495528=x
x=13.774597495528

now we have:
77 is 13.774597495528% of 559