105.1 is what percent of 377.23 - 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 377.23 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 377.23, so we can write it down as 100%=377.23.
4. We know, that x% equals 105.1 of the output value, so we can write it down as x%=105.1.
5. Now we have two simple equations:
1) 100%=377.23
2) x%=105.1
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%=377.23/105.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.1 is what percent of 377.23

100%/x%=377.23/105.1
(100/x)*x=(377.23/105.1)*x       - we multiply both sides of the equation by x
100=3.5892483349191*x       - we divide both sides of the equation by (3.5892483349191) to get x
100/3.5892483349191=x
27.86098666596=x
x=27.86098666596

now we have:
105.1 is 27.86098666596% of 377.23