7.1 is what percent of 4000 - 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 4000 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 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 7.1 of the output value, so we can write it down as x%=7.1.
5. Now we have two simple equations:
1) 100%=4000
2) x%=7.1
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%=4000/7.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.1 is what percent of 4000

100%/x%=4000/7.1
(100/x)*x=(4000/7.1)*x       - we multiply both sides of the equation by x
100=563.38028169014*x       - we divide both sides of the equation by (563.38028169014) to get x
100/563.38028169014=x
0.1775=x
x=0.1775

now we have:
7.1 is 0.1775% of 4000