77.1 is what percent of 428.33 - 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 428.33 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 428.33, so we can write it down as 100%=428.33.
4. We know, that x% equals 77.1 of the output value, so we can write it down as x%=77.1.
5. Now we have two simple equations:
1) 100%=428.33
2) x%=77.1
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%=428.33/77.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.1 is what percent of 428.33

100%/x%=428.33/77.1
(100/x)*x=(428.33/77.1)*x       - we multiply both sides of the equation by x
100=5.5555123216602*x       - we divide both sides of the equation by (5.5555123216602) to get x
100/5.5555123216602=x
18.000140078911=x
x=18.000140078911

now we have:
77.1 is 18.000140078911% of 428.33