40.17 is what percent of 73.03 - 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 73.03 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 73.03, so we can write it down as 100%=73.03.
4. We know, that x% equals 40.17 of the output value, so we can write it down as x%=40.17.
5. Now we have two simple equations:
1) 100%=73.03
2) x%=40.17
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%=73.03/40.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.17 is what percent of 73.03

100%/x%=73.03/40.17
(100/x)*x=(73.03/40.17)*x       - we multiply both sides of the equation by x
100=1.8180234005477*x       - we divide both sides of the equation by (1.8180234005477) to get x
100/1.8180234005477=x
55.004792551006=x
x=55.004792551006

now we have:
40.17 is 55.004792551006% of 73.03