784.25 is what percent of 792 - 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 792 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 792, so we can write it down as 100%=792.
4. We know, that x% equals 784.25 of the output value, so we can write it down as x%=784.25.
5. Now we have two simple equations:
1) 100%=792
2) x%=784.25
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%=792/784.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 784.25 is what percent of 792

100%/x%=792/784.25
(100/x)*x=(792/784.25)*x       - we multiply both sides of the equation by x
100=1.0098820529168*x       - we divide both sides of the equation by (1.0098820529168) to get x
100/1.0098820529168=x
99.021464646465=x
x=99.021464646465

now we have:
784.25 is 99.021464646465% of 792