400.81 is what percent of 3643.75 - 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 3643.75 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 3643.75, so we can write it down as 100%=3643.75.
4. We know, that x% equals 400.81 of the output value, so we can write it down as x%=400.81.
5. Now we have two simple equations:
1) 100%=3643.75
2) x%=400.81
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%=3643.75/400.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.81 is what percent of 3643.75

100%/x%=3643.75/400.81
(100/x)*x=(3643.75/400.81)*x       - we multiply both sides of the equation by x
100=9.0909657942666*x       - we divide both sides of the equation by (9.0909657942666) to get x
100/9.0909657942666=x
10.999931389365=x
x=10.999931389365

now we have:
400.81 is 10.999931389365% of 3643.75