123.8 is what percent of 89.8 - 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 89.8 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 89.8, so we can write it down as 100%=89.8.
4. We know, that x% equals 123.8 of the output value, so we can write it down as x%=123.8.
5. Now we have two simple equations:
1) 100%=89.8
2) x%=123.8
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%=89.8/123.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.8 is what percent of 89.8

100%/x%=89.8/123.8
(100/x)*x=(89.8/123.8)*x       - we multiply both sides of the equation by x
100=0.72536348949919*x       - we divide both sides of the equation by (0.72536348949919) to get x
100/0.72536348949919=x
137.86191536748=x
x=137.86191536748

now we have:
123.8 is 137.86191536748% of 89.8