65.22 is what percent of 238.84 - 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 238.84 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 238.84, so we can write it down as 100%=238.84.
4. We know, that x% equals 65.22 of the output value, so we can write it down as x%=65.22.
5. Now we have two simple equations:
1) 100%=238.84
2) x%=65.22
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%=238.84/65.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.22 is what percent of 238.84

100%/x%=238.84/65.22
(100/x)*x=(238.84/65.22)*x       - we multiply both sides of the equation by x
100=3.6620668506593*x       - we divide both sides of the equation by (3.6620668506593) to get x
100/3.6620668506593=x
27.306983754815=x
x=27.306983754815

now we have:
65.22 is 27.306983754815% of 238.84