40.1 is what percent of 352 - 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 352 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 352, so we can write it down as 100%=352.
4. We know, that x% equals 40.1 of the output value, so we can write it down as x%=40.1.
5. Now we have two simple equations:
1) 100%=352
2) x%=40.1
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%=352/40.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.1 is what percent of 352

100%/x%=352/40.1
(100/x)*x=(352/40.1)*x       - we multiply both sides of the equation by x
100=8.7780548628429*x       - we divide both sides of the equation by (8.7780548628429) to get x
100/8.7780548628429=x
11.392045454545=x
x=11.392045454545

now we have:
40.1 is 11.392045454545% of 352