4.99 is what percent of 35.928 - 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 35.928 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 35.928, so we can write it down as 100%=35.928.
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%=35.928
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%=35.928/4.99
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 35.928

100%/x%=35.928/4.99
(100/x)*x=(35.928/4.99)*x       - we multiply both sides of the equation by x
100=7.2*x       - we divide both sides of the equation by (7.2) to get x
100/7.2=x
13.888888888889=x
x=13.888888888889

now we have:
4.99 is 13.888888888889% of 35.928