401.17 is what percent of 1983 - 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 1983 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 1983, so we can write it down as 100%=1983.
4. We know, that x% equals 401.17 of the output value, so we can write it down as x%=401.17.
5. Now we have two simple equations:
1) 100%=1983
2) x%=401.17
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%=1983/401.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 401.17 is what percent of 1983

100%/x%=1983/401.17
(100/x)*x=(1983/401.17)*x       - we multiply both sides of the equation by x
100=4.9430416033103*x       - we divide both sides of the equation by (4.9430416033103) to get x
100/4.9430416033103=x
20.230458900656=x
x=20.230458900656

now we have:
401.17 is 20.230458900656% of 1983