355.5 is what percent of 4031.5 - 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 4031.5 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 4031.5, so we can write it down as 100%=4031.5.
4. We know, that x% equals 355.5 of the output value, so we can write it down as x%=355.5.
5. Now we have two simple equations:
1) 100%=4031.5
2) x%=355.5
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%=4031.5/355.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.5 is what percent of 4031.5

100%/x%=4031.5/355.5
(100/x)*x=(4031.5/355.5)*x       - we multiply both sides of the equation by x
100=11.340365682138*x       - we divide both sides of the equation by (11.340365682138) to get x
100/11.340365682138=x
8.8180577948654=x
x=8.8180577948654

now we have:
355.5 is 8.8180577948654% of 4031.5