4.99 is what percent of 71 - 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 71 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 71, so we can write it down as 100%=71.
4. We know, that x% equals 4.99 of the output value, so we can write it down as x%=4.99.
5. Now we have two simple equations:
1) 100%=71
2) x%=4.99
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%=71/4.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.99 is what percent of 71

100%/x%=71/4.99
(100/x)*x=(71/4.99)*x       - we multiply both sides of the equation by x
100=14.228456913828*x       - we divide both sides of the equation by (14.228456913828) to get x
100/14.228456913828=x
7.0281690140845=x
x=7.0281690140845

now we have:
4.99 is 7.0281690140845% of 71