1022.8 is what percent of 925 - 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 925 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 925, so we can write it down as 100%=925.
4. We know, that x% equals 1022.8 of the output value, so we can write it down as x%=1022.8.
5. Now we have two simple equations:
1) 100%=925
2) x%=1022.8
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%=925/1022.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1022.8 is what percent of 925

100%/x%=925/1022.8
(100/x)*x=(925/1022.8)*x       - we multiply both sides of the equation by x
100=0.90438013296832*x       - we divide both sides of the equation by (0.90438013296832) to get x
100/0.90438013296832=x
110.57297297297=x
x=110.57297297297

now we have:
1022.8 is 110.57297297297% of 925