208.62 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 208.62 of the output value, so we can write it down as x%=208.62.
5. Now we have two simple equations:
1) 100%=5
2) x%=208.62
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%=5/208.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.62 is what percent of 5

100%/x%=5/208.62
(100/x)*x=(5/208.62)*x       - we multiply both sides of the equation by x
100=0.023967021378583*x       - we divide both sides of the equation by (0.023967021378583) to get x
100/0.023967021378583=x
4172.4=x
x=4172.4

now we have:
208.62 is 4172.4% of 5