342.85 is what percent of 1034.11 - 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 1034.11 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 1034.11, so we can write it down as 100%=1034.11.
4. We know, that x% equals 342.85 of the output value, so we can write it down as x%=342.85.
5. Now we have two simple equations:
1) 100%=1034.11
2) x%=342.85
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%=1034.11/342.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.85 is what percent of 1034.11

100%/x%=1034.11/342.85
(100/x)*x=(1034.11/342.85)*x       - we multiply both sides of the equation by x
100=3.0162170045209*x       - we divide both sides of the equation by (3.0162170045209) to get x
100/3.0162170045209=x
33.154113198789=x
x=33.154113198789

now we have:
342.85 is 33.154113198789% of 1034.11