30.77 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 30.77 of the output value, so we can write it down as x%=30.77.
5. Now we have two simple equations:
1) 100%=350
2) x%=30.77
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%=350/30.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.77 is what percent of 350

100%/x%=350/30.77
(100/x)*x=(350/30.77)*x       - we multiply both sides of the equation by x
100=11.374715632109*x       - we divide both sides of the equation by (11.374715632109) to get x
100/11.374715632109=x
8.7914285714286=x
x=8.7914285714286

now we have:
30.77 is 8.7914285714286% of 350