7 is what percent of 102 - 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 102 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 102, so we can write it down as 100%=102.
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%=102
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%=102/7
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 102

100%/x%=102/7
(100/x)*x=(102/7)*x       - we multiply both sides of the equation by x
100=14.5714285714*x       - we divide both sides of the equation by (14.5714285714) to get x
100/14.5714285714=x
6.86274509804=x
x=6.86274509804

now we have:
7 is 6.86274509804% of 102