668.86 is what percent of 827.43 - 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 827.43 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 827.43, so we can write it down as 100%=827.43.
4. We know, that x% equals 668.86 of the output value, so we can write it down as x%=668.86.
5. Now we have two simple equations:
1) 100%=827.43
2) x%=668.86
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%=827.43/668.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 668.86 is what percent of 827.43

100%/x%=827.43/668.86
(100/x)*x=(827.43/668.86)*x       - we multiply both sides of the equation by x
100=1.2370750231738*x       - we divide both sides of the equation by (1.2370750231738) to get x
100/1.2370750231738=x
80.835841098341=x
x=80.835841098341

now we have:
668.86 is 80.835841098341% of 827.43