71.42 is what percent of 7130 - 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 7130 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 7130, so we can write it down as 100%=7130.
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%=7130
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%=7130/71.42
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 7130

100%/x%=7130/71.42
(100/x)*x=(7130/71.42)*x       - we multiply both sides of the equation by x
100=99.831979837581*x       - we divide both sides of the equation by (99.831979837581) to get x
100/99.831979837581=x
1.001683029453=x
x=1.001683029453

now we have:
71.42 is 1.001683029453% of 7130