105.5 is what percent of 189 - 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 189 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 189, so we can write it down as 100%=189.
4. We know, that x% equals 105.5 of the output value, so we can write it down as x%=105.5.
5. Now we have two simple equations:
1) 100%=189
2) x%=105.5
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%=189/105.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.5 is what percent of 189

100%/x%=189/105.5
(100/x)*x=(189/105.5)*x       - we multiply both sides of the equation by x
100=1.7914691943128*x       - we divide both sides of the equation by (1.7914691943128) to get x
100/1.7914691943128=x
55.820105820106=x
x=55.820105820106

now we have:
105.5 is 55.820105820106% of 189