71 is what percent of 4033 - 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 4033 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 4033, so we can write it down as 100%=4033.
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%=4033
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%=4033/71
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 4033

100%/x%=4033/71
(100/x)*x=(4033/71)*x       - we multiply both sides of the equation by x
100=56.802816901408*x       - we divide both sides of the equation by (56.802816901408) to get x
100/56.802816901408=x
1.7604760724027=x
x=1.7604760724027

now we have:
71 is 1.7604760724027% of 4033