21.67 is what percent of 34 - 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 34 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 34, so we can write it down as 100%=34.
4. We know, that x% equals 21.67 of the output value, so we can write it down as x%=21.67.
5. Now we have two simple equations:
1) 100%=34
2) x%=21.67
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%=34/21.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.67 is what percent of 34

100%/x%=34/21.67
(100/x)*x=(34/21.67)*x       - we multiply both sides of the equation by x
100=1.5689893862483*x       - we divide both sides of the equation by (1.5689893862483) to get x
100/1.5689893862483=x
63.735294117647=x
x=63.735294117647

now we have:
21.67 is 63.735294117647% of 34