4.89 is what percent of 4.09 - 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 4.09 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 4.09, so we can write it down as 100%=4.09.
4. We know, that x% equals 4.89 of the output value, so we can write it down as x%=4.89.
5. Now we have two simple equations:
1) 100%=4.09
2) x%=4.89
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%=4.09/4.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.89 is what percent of 4.09

100%/x%=4.09/4.89
(100/x)*x=(4.09/4.89)*x       - we multiply both sides of the equation by x
100=0.83640081799591*x       - we divide both sides of the equation by (0.83640081799591) to get x
100/0.83640081799591=x
119.55990220049=x
x=119.55990220049

now we have:
4.89 is 119.55990220049% of 4.09