5 is what percent of 175.75 - 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 175.75 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 175.75, so we can write it down as 100%=175.75.
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%=175.75
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%=175.75/5
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 175.75

100%/x%=175.75/5
(100/x)*x=(175.75/5)*x       - we multiply both sides of the equation by x
100=35.15*x       - we divide both sides of the equation by (35.15) to get x
100/35.15=x
2.8449502133713=x
x=2.8449502133713

now we have:
5 is 2.8449502133713% of 175.75