5 is what percent of 120.68 - 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 120.68 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 120.68, so we can write it down as 100%=120.68.
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%=120.68
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%=120.68/5
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 120.68

100%/x%=120.68/5
(100/x)*x=(120.68/5)*x       - we multiply both sides of the equation by x
100=24.136*x       - we divide both sides of the equation by (24.136) to get x
100/24.136=x
4.143188597945=x
x=4.143188597945

now we have:
5 is 4.143188597945% of 120.68