310.1 is what percent of 346.46 - 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 346.46 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 346.46, so we can write it down as 100%=346.46.
4. We know, that x% equals 310.1 of the output value, so we can write it down as x%=310.1.
5. Now we have two simple equations:
1) 100%=346.46
2) x%=310.1
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%=346.46/310.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.1 is what percent of 346.46

100%/x%=346.46/310.1
(100/x)*x=(346.46/310.1)*x       - we multiply both sides of the equation by x
100=1.11725249919*x       - we divide both sides of the equation by (1.11725249919) to get x
100/1.11725249919=x
89.505281995=x
x=89.505281995

now we have:
310.1 is 89.505281995% of 346.46