340.49 is what percent of 4163.23 - 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 4163.23 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 4163.23, so we can write it down as 100%=4163.23.
4. We know, that x% equals 340.49 of the output value, so we can write it down as x%=340.49.
5. Now we have two simple equations:
1) 100%=4163.23
2) x%=340.49
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%=4163.23/340.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.49 is what percent of 4163.23

100%/x%=4163.23/340.49
(100/x)*x=(4163.23/340.49)*x       - we multiply both sides of the equation by x
100=12.227172604188*x       - we divide both sides of the equation by (12.227172604188) to get x
100/12.227172604188=x
8.1785056314448=x
x=8.1785056314448

now we have:
340.49 is 8.1785056314448% of 4163.23