108.89 is what percent of 1405 - 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 1405 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 1405, so we can write it down as 100%=1405.
4. We know, that x% equals 108.89 of the output value, so we can write it down as x%=108.89.
5. Now we have two simple equations:
1) 100%=1405
2) x%=108.89
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%=1405/108.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.89 is what percent of 1405

100%/x%=1405/108.89
(100/x)*x=(1405/108.89)*x       - we multiply both sides of the equation by x
100=12.902929561943*x       - we divide both sides of the equation by (12.902929561943) to get x
100/12.902929561943=x
7.7501779359431=x
x=7.7501779359431

now we have:
108.89 is 7.7501779359431% of 1405