4.98 is what percent of 5824 - 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 5824 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 5824, so we can write it down as 100%=5824.
4. We know, that x% equals 4.98 of the output value, so we can write it down as x%=4.98.
5. Now we have two simple equations:
1) 100%=5824
2) x%=4.98
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%=5824/4.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.98 is what percent of 5824

100%/x%=5824/4.98
(100/x)*x=(5824/4.98)*x       - we multiply both sides of the equation by x
100=1169.4779116466*x       - we divide both sides of the equation by (1169.4779116466) to get x
100/1169.4779116466=x
0.085508241758242=x
x=0.085508241758242

now we have:
4.98 is 0.085508241758242% of 5824