964.3 is what percent of 1025 - 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 1025 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 1025, so we can write it down as 100%=1025.
4. We know, that x% equals 964.3 of the output value, so we can write it down as x%=964.3.
5. Now we have two simple equations:
1) 100%=1025
2) x%=964.3
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%=1025/964.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 964.3 is what percent of 1025

100%/x%=1025/964.3
(100/x)*x=(1025/964.3)*x       - we multiply both sides of the equation by x
100=1.0629472155968*x       - we divide both sides of the equation by (1.0629472155968) to get x
100/1.0629472155968=x
94.078048780488=x
x=94.078048780488

now we have:
964.3 is 94.078048780488% of 1025