110.05 is what percent of 10438.75 - 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 10438.75 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 10438.75, so we can write it down as 100%=10438.75.
4. We know, that x% equals 110.05 of the output value, so we can write it down as x%=110.05.
5. Now we have two simple equations:
1) 100%=10438.75
2) x%=110.05
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%=10438.75/110.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.05 is what percent of 10438.75

100%/x%=10438.75/110.05
(100/x)*x=(10438.75/110.05)*x       - we multiply both sides of the equation by x
100=94.854611540209*x       - we divide both sides of the equation by (94.854611540209) to get x
100/94.854611540209=x
1.0542450005987=x
x=1.0542450005987

now we have:
110.05 is 1.0542450005987% of 10438.75