310.9 is what percent of 346.06 - 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 346.06 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 346.06, so we can write it down as 100%=346.06.
4. We know, that x% equals 310.9 of the output value, so we can write it down as x%=310.9.
5. Now we have two simple equations:
1) 100%=346.06
2) x%=310.9
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%=346.06/310.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.9 is what percent of 346.06

100%/x%=346.06/310.9
(100/x)*x=(346.06/310.9)*x       - we multiply both sides of the equation by x
100=1.1130910260534*x       - we divide both sides of the equation by (1.1130910260534) to get x
100/1.1130910260534=x
89.839912153962=x
x=89.839912153962

now we have:
310.9 is 89.839912153962% of 346.06