632.08 is what percent of 40172.12 - 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 40172.12 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 40172.12, so we can write it down as 100%=40172.12.
4. We know, that x% equals 632.08 of the output value, so we can write it down as x%=632.08.
5. Now we have two simple equations:
1) 100%=40172.12
2) x%=632.08
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%=40172.12/632.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 632.08 is what percent of 40172.12

100%/x%=40172.12/632.08
(100/x)*x=(40172.12/632.08)*x       - we multiply both sides of the equation by x
100=63.555436020757*x       - we divide both sides of the equation by (63.555436020757) to get x
100/63.555436020757=x
1.5734295327207=x
x=1.5734295327207

now we have:
632.08 is 1.5734295327207% of 40172.12