30.9 is what percent of 415.6 - 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 415.6 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 415.6, so we can write it down as 100%=415.6.
4. We know, that x% equals 30.9 of the output value, so we can write it down as x%=30.9.
5. Now we have two simple equations:
1) 100%=415.6
2) x%=30.9
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%=415.6/30.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.9 is what percent of 415.6

100%/x%=415.6/30.9
(100/x)*x=(415.6/30.9)*x       - we multiply both sides of the equation by x
100=13.449838187702*x       - we divide both sides of the equation by (13.449838187702) to get x
100/13.449838187702=x
7.4350336862368=x
x=7.4350336862368

now we have:
30.9 is 7.4350336862368% of 415.6