71.42 is what percent of 7110 - 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 7110 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 7110, so we can write it down as 100%=7110.
4. We know, that x% equals 71.42 of the output value, so we can write it down as x%=71.42.
5. Now we have two simple equations:
1) 100%=7110
2) x%=71.42
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%=7110/71.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.42 is what percent of 7110

100%/x%=7110/71.42
(100/x)*x=(7110/71.42)*x       - we multiply both sides of the equation by x
100=99.551946233548*x       - we divide both sides of the equation by (99.551946233548) to get x
100/99.551946233548=x
1.0045007032349=x
x=1.0045007032349

now we have:
71.42 is 1.0045007032349% of 7110