9.75 is what percent of 10.25 - 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 10.25 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 10.25, so we can write it down as 100%=10.25.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=10.25
2) x%=9.75
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%=10.25/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 10.25

100%/x%=10.25/9.75
(100/x)*x=(10.25/9.75)*x       - we multiply both sides of the equation by x
100=1.0512820512821*x       - we divide both sides of the equation by (1.0512820512821) to get x
100/1.0512820512821=x
95.121951219512=x
x=95.121951219512

now we have:
9.75 is 95.121951219512% of 10.25