30.93 is what percent of 205 - 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 205 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 205, so we can write it down as 100%=205.
4. We know, that x% equals 30.93 of the output value, so we can write it down as x%=30.93.
5. Now we have two simple equations:
1) 100%=205
2) x%=30.93
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%=205/30.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.93 is what percent of 205

100%/x%=205/30.93
(100/x)*x=(205/30.93)*x       - we multiply both sides of the equation by x
100=6.6278693824766*x       - we divide both sides of the equation by (6.6278693824766) to get x
100/6.6278693824766=x
15.087804878049=x
x=15.087804878049

now we have:
30.93 is 15.087804878049% of 205