7 is what percent of 178.1 - 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 178.1 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 178.1, so we can write it down as 100%=178.1.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=178.1
2) x%=7
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%=178.1/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 178.1

100%/x%=178.1/7
(100/x)*x=(178.1/7)*x       - we multiply both sides of the equation by x
100=25.442857142857*x       - we divide both sides of the equation by (25.442857142857) to get x
100/25.442857142857=x
3.9303761931499=x
x=3.9303761931499

now we have:
7 is 3.9303761931499% of 178.1