40971.47 is what percent of 198000 - 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 198000 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 198000, so we can write it down as 100%=198000.
4. We know, that x% equals 40971.47 of the output value, so we can write it down as x%=40971.47.
5. Now we have two simple equations:
1) 100%=198000
2) x%=40971.47
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%=198000/40971.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40971.47 is what percent of 198000

100%/x%=198000/40971.47
(100/x)*x=(198000/40971.47)*x       - we multiply both sides of the equation by x
100=4.8326310967119*x       - we divide both sides of the equation by (4.8326310967119) to get x
100/4.8326310967119=x
20.692661616162=x
x=20.692661616162

now we have:
40971.47 is 20.692661616162% of 198000