What is 7.82 percent of 469.46 - 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 469.46 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 469.46 is 100%, so we can write it down as 469.46=100%.
4. We know, that x is 7.82% of the output value, so we can write it down as x=7.82%.
5. Now we have two simple equations:
1) 469.46=100%
2) x=7.82%
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:
469.46/x=100%/7.82%
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 7.82% of 469.46

469.46/x=100/7.82
(469.46/x)*x=(100/7.82)*x       - we multiply both sides of the equation by x
469.46=12.787723785166*x       - we divide both sides of the equation by (12.787723785166) to get x
469.46/12.787723785166=x
36.711772=x
x=36.711772

now we have:
7.82% of 469.46=36.711772