7 is what percent of 218 - 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 218 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 218, so we can write it down as 100%=218.
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%=218
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%=218/7
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 218

100%/x%=218/7
(100/x)*x=(218/7)*x       - we multiply both sides of the equation by x
100=31.142857142857*x       - we divide both sides of the equation by (31.142857142857) to get x
100/31.142857142857=x
3.2110091743119=x
x=3.2110091743119

now we have:
7 is 3.2110091743119% of 218