30.8 is what percent of 1.413 - 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 1.413 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 1.413, so we can write it down as 100%=1.413.
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%=1.413
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%=1.413/30.8
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 1.413

100%/x%=1.413/30.8
(100/x)*x=(1.413/30.8)*x       - we multiply both sides of the equation by x
100=0.045876623376623*x       - we divide both sides of the equation by (0.045876623376623) to get x
100/0.045876623376623=x
2179.7593772116=x
x=2179.7593772116

now we have:
30.8 is 2179.7593772116% of 1.413