806.51 is what percent of 824.51 - 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 824.51 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 824.51, so we can write it down as 100%=824.51.
4. We know, that x% equals 806.51 of the output value, so we can write it down as x%=806.51.
5. Now we have two simple equations:
1) 100%=824.51
2) x%=806.51
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%=824.51/806.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 806.51 is what percent of 824.51

100%/x%=824.51/806.51
(100/x)*x=(824.51/806.51)*x       - we multiply both sides of the equation by x
100=1.022318384149*x       - we divide both sides of the equation by (1.022318384149) to get x
100/1.022318384149=x
97.816885180289=x
x=97.816885180289

now we have:
806.51 is 97.816885180289% of 824.51