167.41 is what percent of 5098 - 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 5098 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 5098, so we can write it down as 100%=5098.
4. We know, that x% equals 167.41 of the output value, so we can write it down as x%=167.41.
5. Now we have two simple equations:
1) 100%=5098
2) x%=167.41
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%=5098/167.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.41 is what percent of 5098

100%/x%=5098/167.41
(100/x)*x=(5098/167.41)*x       - we multiply both sides of the equation by x
100=30.452183262649*x       - we divide both sides of the equation by (30.452183262649) to get x
100/30.452183262649=x
3.2838367987446=x
x=3.2838367987446

now we have:
167.41 is 3.2838367987446% of 5098