30.8 is what percent of 75.4651 - 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 75.4651 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 75.4651, so we can write it down as 100%=75.4651.
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%=75.4651
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%=75.4651/30.8
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 75.4651

100%/x%=75.4651/30.8
(100/x)*x=(75.4651/30.8)*x       - we multiply both sides of the equation by x
100=2.4501655844156*x       - we divide both sides of the equation by (2.4501655844156) to get x
100/2.4501655844156=x
40.813568126193=x
x=40.813568126193

now we have:
30.8 is 40.813568126193% of 75.4651