5 is what percent of 200954 - 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 200954 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 200954, so we can write it down as 100%=200954.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=200954
2) x%=5
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%=200954/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 200954

100%/x%=200954/5
(100/x)*x=(200954/5)*x       - we multiply both sides of the equation by x
100=40190.8*x       - we divide both sides of the equation by (40190.8) to get x
100/40190.8=x
0.0024881316122098=x
x=0.0024881316122098

now we have:
5 is 0.0024881316122098% of 200954