331.68 is what percent of 405.2 - 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 405.2 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 405.2, so we can write it down as 100%=405.2.
4. We know, that x% equals 331.68 of the output value, so we can write it down as x%=331.68.
5. Now we have two simple equations:
1) 100%=405.2
2) x%=331.68
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%=405.2/331.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 331.68 is what percent of 405.2

100%/x%=405.2/331.68
(100/x)*x=(405.2/331.68)*x       - we multiply both sides of the equation by x
100=1.2216594307767*x       - we divide both sides of the equation by (1.2216594307767) to get x
100/1.2216594307767=x
81.855873642646=x
x=81.855873642646

now we have:
331.68 is 81.855873642646% of 405.2