0.33 is what percent of 0.67 - 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 0.67 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 0.67, so we can write it down as 100%=0.67.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=0.67
2) x%=0.33
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%=0.67/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 0.67

100%/x%=0.67/0.33
(100/x)*x=(0.67/0.33)*x       - we multiply both sides of the equation by x
100=2.030303030303*x       - we divide both sides of the equation by (2.030303030303) to get x
100/2.030303030303=x
49.253731343284=x
x=49.253731343284

now we have:
0.33 is 49.253731343284% of 0.67