54.98 is what percent of 119.113 - 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 119.113 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 119.113, so we can write it down as 100%=119.113.
4. We know, that x% equals 54.98 of the output value, so we can write it down as x%=54.98.
5. Now we have two simple equations:
1) 100%=119.113
2) x%=54.98
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%=119.113/54.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.98 is what percent of 119.113

100%/x%=119.113/54.98
(100/x)*x=(119.113/54.98)*x       - we multiply both sides of the equation by x
100=2.1664787195344*x       - we divide both sides of the equation by (2.1664787195344) to get x
100/2.1664787195344=x
46.15785010872=x
x=46.15785010872

now we have:
54.98 is 46.15785010872% of 119.113