346.4 is what percent of 385 - 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 385 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 385, so we can write it down as 100%=385.
4. We know, that x% equals 346.4 of the output value, so we can write it down as x%=346.4.
5. Now we have two simple equations:
1) 100%=385
2) x%=346.4
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%=385/346.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 346.4 is what percent of 385

100%/x%=385/346.4
(100/x)*x=(385/346.4)*x       - we multiply both sides of the equation by x
100=1.1114318706697*x       - we divide both sides of the equation by (1.1114318706697) to get x
100/1.1114318706697=x
89.974025974026=x
x=89.974025974026

now we have:
346.4 is 89.974025974026% of 385