5 is what percent of 5.38 - 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 5.38 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 5.38, so we can write it down as 100%=5.38.
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%=5.38
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%=5.38/5
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 5.38

100%/x%=5.38/5
(100/x)*x=(5.38/5)*x       - we multiply both sides of the equation by x
100=1.076*x       - we divide both sides of the equation by (1.076) to get x
100/1.076=x
92.936802973978=x
x=92.936802973978

now we have:
5 is 92.936802973978% of 5.38