323.6 is what percent of 342.8 - 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 342.8 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 342.8, so we can write it down as 100%=342.8.
4. We know, that x% equals 323.6 of the output value, so we can write it down as x%=323.6.
5. Now we have two simple equations:
1) 100%=342.8
2) x%=323.6
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%=342.8/323.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 323.6 is what percent of 342.8

100%/x%=342.8/323.6
(100/x)*x=(342.8/323.6)*x       - we multiply both sides of the equation by x
100=1.0593325092707*x       - we divide both sides of the equation by (1.0593325092707) to get x
100/1.0593325092707=x
94.399066511085=x
x=94.399066511085

now we have:
323.6 is 94.399066511085% of 342.8