65.8 is what percent of 71.25 - 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 71.25 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 71.25, so we can write it down as 100%=71.25.
4. We know, that x% equals 65.8 of the output value, so we can write it down as x%=65.8.
5. Now we have two simple equations:
1) 100%=71.25
2) x%=65.8
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%=71.25/65.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.8 is what percent of 71.25

100%/x%=71.25/65.8
(100/x)*x=(71.25/65.8)*x       - we multiply both sides of the equation by x
100=1.0828267477204*x       - we divide both sides of the equation by (1.0828267477204) to get x
100/1.0828267477204=x
92.350877192982=x
x=92.350877192982

now we have:
65.8 is 92.350877192982% of 71.25