81.75 is what percent of 225.45 - 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 225.45 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 225.45, so we can write it down as 100%=225.45.
4. We know, that x% equals 81.75 of the output value, so we can write it down as x%=81.75.
5. Now we have two simple equations:
1) 100%=225.45
2) x%=81.75
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%=225.45/81.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.75 is what percent of 225.45

100%/x%=225.45/81.75
(100/x)*x=(225.45/81.75)*x       - we multiply both sides of the equation by x
100=2.7577981651376*x       - we divide both sides of the equation by (2.7577981651376) to get x
100/2.7577981651376=x
36.260811709914=x
x=36.260811709914

now we have:
81.75 is 36.260811709914% of 225.45