30.05 is what percent of 214.5 - 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 214.5 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 214.5, so we can write it down as 100%=214.5.
4. We know, that x% equals 30.05 of the output value, so we can write it down as x%=30.05.
5. Now we have two simple equations:
1) 100%=214.5
2) x%=30.05
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%=214.5/30.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.05 is what percent of 214.5

100%/x%=214.5/30.05
(100/x)*x=(214.5/30.05)*x       - we multiply both sides of the equation by x
100=7.1381031613977*x       - we divide both sides of the equation by (7.1381031613977) to get x
100/7.1381031613977=x
14.009324009324=x
x=14.009324009324

now we have:
30.05 is 14.009324009324% of 214.5