What is 92.5 percent of 12.58 - 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 12.58 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 12.58 is 100%, so we can write it down as 12.58=100%.
4. We know, that x is 92.5% of the output value, so we can write it down as x=92.5%.
5. Now we have two simple equations:
1) 12.58=100%
2) x=92.5%
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:
12.58/x=100%/92.5%
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 92.5% of 12.58

12.58/x=100/92.5
(12.58/x)*x=(100/92.5)*x       - we multiply both sides of the equation by x
12.58=1.0810810810811*x       - we divide both sides of the equation by (1.0810810810811) to get x
12.58/1.0810810810811=x
11.6365=x
x=11.6365

now we have:
92.5% of 12.58=11.6365