What is 125 percent of 105.23 - 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 105.23 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 105.23 is 100%, so we can write it down as 105.23=100%.
4. We know, that x is 125% of the output value, so we can write it down as x=125%.
5. Now we have two simple equations:
1) 105.23=100%
2) x=125%
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:
105.23/x=100%/125%
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 125% of 105.23

105.23/x=100/125
(105.23/x)*x=(100/125)*x       - we multiply both sides of the equation by x
105.23=0.8*x       - we divide both sides of the equation by (0.8) to get x
105.23/0.8=x
131.5375=x
x=131.5375

now we have:
125% of 105.23=131.5375