40.12 is what percent of 433.73 - 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 433.73 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 433.73, so we can write it down as 100%=433.73.
4. We know, that x% equals 40.12 of the output value, so we can write it down as x%=40.12.
5. Now we have two simple equations:
1) 100%=433.73
2) x%=40.12
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%=433.73/40.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.12 is what percent of 433.73

100%/x%=433.73/40.12
(100/x)*x=(433.73/40.12)*x       - we multiply both sides of the equation by x
100=10.810817547358*x       - we divide both sides of the equation by (10.810817547358) to get x
100/10.810817547358=x
9.2499942360455=x
x=9.2499942360455

now we have:
40.12 is 9.2499942360455% of 433.73