996.22 is what percent of 1228.34 - 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 1228.34 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 1228.34, so we can write it down as 100%=1228.34.
4. We know, that x% equals 996.22 of the output value, so we can write it down as x%=996.22.
5. Now we have two simple equations:
1) 100%=1228.34
2) x%=996.22
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%=1228.34/996.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 996.22 is what percent of 1228.34

100%/x%=1228.34/996.22
(100/x)*x=(1228.34/996.22)*x       - we multiply both sides of the equation by x
100=1.2330007428078*x       - we divide both sides of the equation by (1.2330007428078) to get x
100/1.2330007428078=x
81.102951951414=x
x=81.102951951414

now we have:
996.22 is 81.102951951414% of 1228.34