42.26 is what percent of 812.29 - 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 812.29 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 812.29, so we can write it down as 100%=812.29.
4. We know, that x% equals 42.26 of the output value, so we can write it down as x%=42.26.
5. Now we have two simple equations:
1) 100%=812.29
2) x%=42.26
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%=812.29/42.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.26 is what percent of 812.29

100%/x%=812.29/42.26
(100/x)*x=(812.29/42.26)*x       - we multiply both sides of the equation by x
100=19.221249408424*x       - we divide both sides of the equation by (19.221249408424) to get x
100/19.221249408424=x
5.2025754348816=x
x=5.2025754348816

now we have:
42.26 is 5.2025754348816% of 812.29