77.7 is what percent of 4.5 - 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 4.5 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 4.5, so we can write it down as 100%=4.5.
4. We know, that x% equals 77.7 of the output value, so we can write it down as x%=77.7.
5. Now we have two simple equations:
1) 100%=4.5
2) x%=77.7
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%=4.5/77.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.7 is what percent of 4.5

100%/x%=4.5/77.7
(100/x)*x=(4.5/77.7)*x       - we multiply both sides of the equation by x
100=0.057915057915058*x       - we divide both sides of the equation by (0.057915057915058) to get x
100/0.057915057915058=x
1726.6666666667=x
x=1726.6666666667

now we have:
77.7 is 1726.6666666667% of 4.5