82.25 is what percent of 375 - 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 375 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 375, so we can write it down as 100%=375.
4. We know, that x% equals 82.25 of the output value, so we can write it down as x%=82.25.
5. Now we have two simple equations:
1) 100%=375
2) x%=82.25
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%=375/82.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.25 is what percent of 375

100%/x%=375/82.25
(100/x)*x=(375/82.25)*x       - we multiply both sides of the equation by x
100=4.5592705167173*x       - we divide both sides of the equation by (4.5592705167173) to get x
100/4.5592705167173=x
21.933333333333=x
x=21.933333333333

now we have:
82.25 is 21.933333333333% of 375