71.3 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
4. We know, that x% equals 71.3 of the output value, so we can write it down as x%=71.3.
5. Now we have two simple equations:
1) 100%=40
2) x%=71.3
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%=40/71.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.3 is what percent of 40

100%/x%=40/71.3
(100/x)*x=(40/71.3)*x       - we multiply both sides of the equation by x
100=0.56100981767181*x       - we divide both sides of the equation by (0.56100981767181) to get x
100/0.56100981767181=x
178.25=x
x=178.25

now we have:
71.3 is 178.25% of 40