What is 102.2 percent of 34.5 - 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 34.5 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 34.5 is 100%, so we can write it down as 34.5=100%.
4. We know, that x is 102.2% of the output value, so we can write it down as x=102.2%.
5. Now we have two simple equations:
1) 34.5=100%
2) x=102.2%
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:
34.5/x=100%/102.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 102.2% of 34.5

34.5/x=100/102.2
(34.5/x)*x=(100/102.2)*x       - we multiply both sides of the equation by x
34.5=0.97847358121331*x       - we divide both sides of the equation by (0.97847358121331) to get x
34.5/0.97847358121331=x
35.259=x
x=35.259

now we have:
102.2% of 34.5=35.259