24.34 is what percent of 33.266 - 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 33.266 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 33.266, so we can write it down as 100%=33.266.
4. We know, that x% equals 24.34 of the output value, so we can write it down as x%=24.34.
5. Now we have two simple equations:
1) 100%=33.266
2) x%=24.34
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%=33.266/24.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.34 is what percent of 33.266

100%/x%=33.266/24.34
(100/x)*x=(33.266/24.34)*x       - we multiply both sides of the equation by x
100=1.3667214461791*x       - we divide both sides of the equation by (1.3667214461791) to get x
100/1.3667214461791=x
73.167798953887=x
x=73.167798953887

now we have:
24.34 is 73.167798953887% of 33.266