422.09 is what percent of 805 - 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 805 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 805, so we can write it down as 100%=805.
4. We know, that x% equals 422.09 of the output value, so we can write it down as x%=422.09.
5. Now we have two simple equations:
1) 100%=805
2) x%=422.09
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%=805/422.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 422.09 is what percent of 805

100%/x%=805/422.09
(100/x)*x=(805/422.09)*x       - we multiply both sides of the equation by x
100=1.9071761946504*x       - we divide both sides of the equation by (1.9071761946504) to get x
100/1.9071761946504=x
52.433540372671=x
x=52.433540372671

now we have:
422.09 is 52.433540372671% of 805