51.22 is what percent of 409.78 - 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 409.78 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 409.78, so we can write it down as 100%=409.78.
4. We know, that x% equals 51.22 of the output value, so we can write it down as x%=51.22.
5. Now we have two simple equations:
1) 100%=409.78
2) x%=51.22
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%=409.78/51.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.22 is what percent of 409.78

100%/x%=409.78/51.22
(100/x)*x=(409.78/51.22)*x       - we multiply both sides of the equation by x
100=8.0003904724717*x       - we divide both sides of the equation by (8.0003904724717) to get x
100/8.0003904724717=x
12.499389916541=x
x=12.499389916541

now we have:
51.22 is 12.499389916541% of 409.78