14.1 is what percent of 98.5 - 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 98.5 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 98.5, so we can write it down as 100%=98.5.
4. We know, that x% equals 14.1 of the output value, so we can write it down as x%=14.1.
5. Now we have two simple equations:
1) 100%=98.5
2) x%=14.1
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%=98.5/14.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.1 is what percent of 98.5

100%/x%=98.5/14.1
(100/x)*x=(98.5/14.1)*x       - we multiply both sides of the equation by x
100=6.9858156028369*x       - we divide both sides of the equation by (6.9858156028369) to get x
100/6.9858156028369=x
14.314720812183=x
x=14.314720812183

now we have:
14.1 is 14.314720812183% of 98.5