663.24 is what percent of 800.05 - 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 800.05 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 800.05, so we can write it down as 100%=800.05.
4. We know, that x% equals 663.24 of the output value, so we can write it down as x%=663.24.
5. Now we have two simple equations:
1) 100%=800.05
2) x%=663.24
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%=800.05/663.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 663.24 is what percent of 800.05

100%/x%=800.05/663.24
(100/x)*x=(800.05/663.24)*x       - we multiply both sides of the equation by x
100=1.2062752548097*x       - we divide both sides of the equation by (1.2062752548097) to get x
100/1.2062752548097=x
82.899818761327=x
x=82.899818761327

now we have:
663.24 is 82.899818761327% of 800.05