105.98 is what percent of 219.38 - 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 219.38 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 219.38, so we can write it down as 100%=219.38.
4. We know, that x% equals 105.98 of the output value, so we can write it down as x%=105.98.
5. Now we have two simple equations:
1) 100%=219.38
2) x%=105.98
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%=219.38/105.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.98 is what percent of 219.38

100%/x%=219.38/105.98
(100/x)*x=(219.38/105.98)*x       - we multiply both sides of the equation by x
100=2.0700132100396*x       - we divide both sides of the equation by (2.0700132100396) to get x
100/2.0700132100396=x
48.308870453095=x
x=48.308870453095

now we have:
105.98 is 48.308870453095% of 219.38