40 is what percent of 2173 - 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 2173 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 2173, so we can write it down as 100%=2173.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=2173
2) x%=40
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%=2173/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 2173

100%/x%=2173/40
(100/x)*x=(2173/40)*x       - we multiply both sides of the equation by x
100=54.325*x       - we divide both sides of the equation by (54.325) to get x
100/54.325=x
1.8407731247124=x
x=1.8407731247124

now we have:
40 is 1.8407731247124% of 2173