30.8 is what percent of 581.12 - 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 581.12 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 581.12, so we can write it down as 100%=581.12.
4. We know, that x% equals 30.8 of the output value, so we can write it down as x%=30.8.
5. Now we have two simple equations:
1) 100%=581.12
2) x%=30.8
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%=581.12/30.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.8 is what percent of 581.12

100%/x%=581.12/30.8
(100/x)*x=(581.12/30.8)*x       - we multiply both sides of the equation by x
100=18.867532467532*x       - we divide both sides of the equation by (18.867532467532) to get x
100/18.867532467532=x
5.3001101321586=x
x=5.3001101321586

now we have:
30.8 is 5.3001101321586% of 581.12