320.1 is what percent of 1642.9 - 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 1642.9 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 1642.9, so we can write it down as 100%=1642.9.
4. We know, that x% equals 320.1 of the output value, so we can write it down as x%=320.1.
5. Now we have two simple equations:
1) 100%=1642.9
2) x%=320.1
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%=1642.9/320.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.1 is what percent of 1642.9

100%/x%=1642.9/320.1
(100/x)*x=(1642.9/320.1)*x       - we multiply both sides of the equation by x
100=5.1324586066854*x       - we divide both sides of the equation by (5.1324586066854) to get x
100/5.1324586066854=x
19.483839552012=x
x=19.483839552012

now we have:
320.1 is 19.483839552012% of 1642.9