30 is what percent of 11.7 - 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 11.7 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 11.7, so we can write it down as 100%=11.7.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=11.7
2) x%=30
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%=11.7/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 11.7

100%/x%=11.7/30
(100/x)*x=(11.7/30)*x       - we multiply both sides of the equation by x
100=0.39*x       - we divide both sides of the equation by (0.39) to get x
100/0.39=x
256.41025641026=x
x=256.41025641026

now we have:
30 is 256.41025641026% of 11.7