77.79 is what percent of 199.44 - 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 199.44 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 199.44, so we can write it down as 100%=199.44.
4. We know, that x% equals 77.79 of the output value, so we can write it down as x%=77.79.
5. Now we have two simple equations:
1) 100%=199.44
2) x%=77.79
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%=199.44/77.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.79 is what percent of 199.44

100%/x%=199.44/77.79
(100/x)*x=(199.44/77.79)*x       - we multiply both sides of the equation by x
100=2.5638256845353*x       - we divide both sides of the equation by (2.5638256845353) to get x
100/2.5638256845353=x
39.00421179302=x
x=39.00421179302

now we have:
77.79 is 39.00421179302% of 199.44