367.98 is what percent of 406 - 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 406 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 406, so we can write it down as 100%=406.
4. We know, that x% equals 367.98 of the output value, so we can write it down as x%=367.98.
5. Now we have two simple equations:
1) 100%=406
2) x%=367.98
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%=406/367.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.98 is what percent of 406

100%/x%=406/367.98
(100/x)*x=(406/367.98)*x       - we multiply both sides of the equation by x
100=1.1033208326539*x       - we divide both sides of the equation by (1.1033208326539) to get x
100/1.1033208326539=x
90.635467980296=x
x=90.635467980296

now we have:
367.98 is 90.635467980296% of 406