105.5 is what percent of 380.5 - 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 380.5 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 380.5, so we can write it down as 100%=380.5.
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%=380.5
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%=380.5/105.5
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 380.5

100%/x%=380.5/105.5
(100/x)*x=(380.5/105.5)*x       - we multiply both sides of the equation by x
100=3.60663507109*x       - we divide both sides of the equation by (3.60663507109) to get x
100/3.60663507109=x
27.72667542707=x
x=27.72667542707

now we have:
105.5 is 27.72667542707% of 380.5