34.32 is what percent of 20.67 - 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 20.67 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 20.67, so we can write it down as 100%=20.67.
4. We know, that x% equals 34.32 of the output value, so we can write it down as x%=34.32.
5. Now we have two simple equations:
1) 100%=20.67
2) x%=34.32
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%=20.67/34.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.32 is what percent of 20.67

100%/x%=20.67/34.32
(100/x)*x=(20.67/34.32)*x       - we multiply both sides of the equation by x
100=0.60227272727273*x       - we divide both sides of the equation by (0.60227272727273) to get x
100/0.60227272727273=x
166.03773584906=x
x=166.03773584906

now we have:
34.32 is 166.03773584906% of 20.67