80.25 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
4. We know, that x% equals 80.25 of the output value, so we can write it down as x%=80.25.
5. Now we have two simple equations:
1) 100%=105
2) x%=80.25
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%=105/80.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.25 is what percent of 105

100%/x%=105/80.25
(100/x)*x=(105/80.25)*x       - we multiply both sides of the equation by x
100=1.3084112149533*x       - we divide both sides of the equation by (1.3084112149533) to get x
100/1.3084112149533=x
76.428571428571=x
x=76.428571428571

now we have:
80.25 is 76.428571428571% of 105