1025.64 is what percent of 971.25 - 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 971.25 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 971.25, so we can write it down as 100%=971.25.
4. We know, that x% equals 1025.64 of the output value, so we can write it down as x%=1025.64.
5. Now we have two simple equations:
1) 100%=971.25
2) x%=1025.64
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%=971.25/1025.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1025.64 is what percent of 971.25

100%/x%=971.25/1025.64
(100/x)*x=(971.25/1025.64)*x       - we multiply both sides of the equation by x
100=0.9469696969697*x       - we divide both sides of the equation by (0.9469696969697) to get x
100/0.9469696969697=x
105.6=x
x=105.6

now we have:
1025.64 is 105.6% of 971.25