773.29 is what percent of 800.27 - 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 800.27 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 800.27, so we can write it down as 100%=800.27.
4. We know, that x% equals 773.29 of the output value, so we can write it down as x%=773.29.
5. Now we have two simple equations:
1) 100%=800.27
2) x%=773.29
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%=800.27/773.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 773.29 is what percent of 800.27

100%/x%=800.27/773.29
(100/x)*x=(800.27/773.29)*x       - we multiply both sides of the equation by x
100=1.0348898860712*x       - we divide both sides of the equation by (1.0348898860712) to get x
100/1.0348898860712=x
96.628637834731=x
x=96.628637834731

now we have:
773.29 is 96.628637834731% of 800.27