71.83 is what percent of 5116.5 - 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 5116.5 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 5116.5, so we can write it down as 100%=5116.5.
4. We know, that x% equals 71.83 of the output value, so we can write it down as x%=71.83.
5. Now we have two simple equations:
1) 100%=5116.5
2) x%=71.83
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%=5116.5/71.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.83 is what percent of 5116.5

100%/x%=5116.5/71.83
(100/x)*x=(5116.5/71.83)*x       - we multiply both sides of the equation by x
100=71.230683558402*x       - we divide both sides of the equation by (71.230683558402) to get x
100/71.230683558402=x
1.4038893775042=x
x=1.4038893775042

now we have:
71.83 is 1.4038893775042% of 5116.5