4.98 is what percent of 165.86 - 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 165.86 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 165.86, so we can write it down as 100%=165.86.
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%=165.86
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%=165.86/4.98
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 165.86

100%/x%=165.86/4.98
(100/x)*x=(165.86/4.98)*x       - we multiply both sides of the equation by x
100=33.305220883534*x       - we divide both sides of the equation by (33.305220883534) to get x
100/33.305220883534=x
3.0025322561196=x
x=3.0025322561196

now we have:
4.98 is 3.0025322561196% of 165.86