What is 8.5402 percent of 493.54 - 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 493.54 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 493.54 is 100%, so we can write it down as 493.54=100%.
4. We know, that x is 8.5402% of the output value, so we can write it down as x=8.5402%.
5. Now we have two simple equations:
1) 493.54=100%
2) x=8.5402%
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:
493.54/x=100%/8.5402%
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 8.5402% of 493.54

493.54/x=100/8.5402
(493.54/x)*x=(100/8.5402)*x       - we multiply both sides of the equation by x
493.54=11.709327650406*x       - we divide both sides of the equation by (11.709327650406) to get x
493.54/11.709327650406=x
42.14930308=x
x=42.14930308

now we have:
8.5402% of 493.54=42.14930308