40.08 is what percent of 174.98 - 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 174.98 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 174.98, so we can write it down as 100%=174.98.
4. We know, that x% equals 40.08 of the output value, so we can write it down as x%=40.08.
5. Now we have two simple equations:
1) 100%=174.98
2) x%=40.08
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%=174.98/40.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.08 is what percent of 174.98

100%/x%=174.98/40.08
(100/x)*x=(174.98/40.08)*x       - we multiply both sides of the equation by x
100=4.3657684630739*x       - we divide both sides of the equation by (4.3657684630739) to get x
100/4.3657684630739=x
22.905474911418=x
x=22.905474911418

now we have:
40.08 is 22.905474911418% of 174.98