353.1 is what percent of 394.5 - 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 394.5 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 394.5, so we can write it down as 100%=394.5.
4. We know, that x% equals 353.1 of the output value, so we can write it down as x%=353.1.
5. Now we have two simple equations:
1) 100%=394.5
2) x%=353.1
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%=394.5/353.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 353.1 is what percent of 394.5

100%/x%=394.5/353.1
(100/x)*x=(394.5/353.1)*x       - we multiply both sides of the equation by x
100=1.1172472387426*x       - we divide both sides of the equation by (1.1172472387426) to get x
100/1.1172472387426=x
89.505703422053=x
x=89.505703422053

now we have:
353.1 is 89.505703422053% of 394.5