What is 492.75 percent of 8.75 - 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 8.75 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 8.75 is 100%, so we can write it down as 8.75=100%.
4. We know, that x is 492.75% of the output value, so we can write it down as x=492.75%.
5. Now we have two simple equations:
1) 8.75=100%
2) x=492.75%
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:
8.75/x=100%/492.75%
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 492.75% of 8.75

8.75/x=100/492.75
(8.75/x)*x=(100/492.75)*x       - we multiply both sides of the equation by x
8.75=0.20294266869609*x       - we divide both sides of the equation by (0.20294266869609) to get x
8.75/0.20294266869609=x
43.115625=x
x=43.115625

now we have:
492.75% of 8.75=43.115625