30 is what percent of 0.33 - 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 0.33 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 0.33, so we can write it down as 100%=0.33.
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%=0.33
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%=0.33/30
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 0.33

100%/x%=0.33/30
(100/x)*x=(0.33/30)*x       - we multiply both sides of the equation by x
100=0.011*x       - we divide both sides of the equation by (0.011) to get x
100/0.011=x
9090.9090909091=x
x=9090.9090909091

now we have:
30 is 9090.9090909091% of 0.33