42.16 is what percent of 812 - 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 812 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 100% equals 812, so we can write it down as 100%=812.
4. We know, that x% equals 42.16 of the output value, so we can write it down as x%=42.16.
5. Now we have two simple equations:
1) 100%=812
2) x%=42.16
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:
100%/x%=812/42.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.16 is what percent of 812

100%/x%=812/42.16
(100/x)*x=(812/42.16)*x       - we multiply both sides of the equation by x
100=19.259962049336*x       - we divide both sides of the equation by (19.259962049336) to get x
100/19.259962049336=x
5.192118226601=x
x=5.192118226601

now we have:
42.16 is 5.192118226601% of 812