What is 41.75 percent of 101.25 - 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 101.25 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 101.25 is 100%, so we can write it down as 101.25=100%.
4. We know, that x is 41.75% of the output value, so we can write it down as x=41.75%.
5. Now we have two simple equations:
1) 101.25=100%
2) x=41.75%
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:
101.25/x=100%/41.75%
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 41.75% of 101.25

101.25/x=100/41.75
(101.25/x)*x=(100/41.75)*x       - we multiply both sides of the equation by x
101.25=2.3952095808383*x       - we divide both sides of the equation by (2.3952095808383) to get x
101.25/2.3952095808383=x
42.271875=x
x=42.271875

now we have:
41.75% of 101.25=42.271875