5 is what percent of 127.438 - 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 127.438 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 127.438, so we can write it down as 100%=127.438.
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%=127.438
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%=127.438/5
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 127.438

100%/x%=127.438/5
(100/x)*x=(127.438/5)*x       - we multiply both sides of the equation by x
100=25.4876*x       - we divide both sides of the equation by (25.4876) to get x
100/25.4876=x
3.9234765140696=x
x=3.9234765140696

now we have:
5 is 3.9234765140696% of 127.438