What is 89.45 percent of 115 - 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 115 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 115 is 100%, so we can write it down as 115=100%.
4. We know, that x is 89.45% of the output value, so we can write it down as x=89.45%.
5. Now we have two simple equations:
1) 115=100%
2) x=89.45%
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:
115/x=100%/89.45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 89.45% of 115

115/x=100/89.45
(115/x)*x=(100/89.45)*x       - we multiply both sides of the equation by x
115=1.1179429849078*x       - we divide both sides of the equation by (1.1179429849078) to get x
115/1.1179429849078=x
102.8675=x
x=102.8675

now we have:
89.45% of 115=102.8675