71 is what percent of 172.75 - 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 172.75 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 172.75, so we can write it down as 100%=172.75.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=172.75
2) x%=71
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%=172.75/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 172.75

100%/x%=172.75/71
(100/x)*x=(172.75/71)*x       - we multiply both sides of the equation by x
100=2.4330985915493*x       - we divide both sides of the equation by (2.4330985915493) to get x
100/2.4330985915493=x
41.0998552822=x
x=41.0998552822

now we have:
71 is 41.0998552822% of 172.75