4.99 is what percent of 3.05 - 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 3.05 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 3.05, so we can write it down as 100%=3.05.
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%=3.05
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%=3.05/4.99
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 3.05

100%/x%=3.05/4.99
(100/x)*x=(3.05/4.99)*x       - we multiply both sides of the equation by x
100=0.61122244488978*x       - we divide both sides of the equation by (0.61122244488978) to get x
100/0.61122244488978=x
163.60655737705=x
x=163.60655737705

now we have:
4.99 is 163.60655737705% of 3.05