77.8 is what percent of 448 - 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 448 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 448, so we can write it down as 100%=448.
4. We know, that x% equals 77.8 of the output value, so we can write it down as x%=77.8.
5. Now we have two simple equations:
1) 100%=448
2) x%=77.8
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%=448/77.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.8 is what percent of 448

100%/x%=448/77.8
(100/x)*x=(448/77.8)*x       - we multiply both sides of the equation by x
100=5.7583547557841*x       - we divide both sides of the equation by (5.7583547557841) to get x
100/5.7583547557841=x
17.366071428571=x
x=17.366071428571

now we have:
77.8 is 17.366071428571% of 448