7 is what percent of 1991 - 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 1991 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 1991, so we can write it down as 100%=1991.
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%=1991
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%=1991/7
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 1991

100%/x%=1991/7
(100/x)*x=(1991/7)*x       - we multiply both sides of the equation by x
100=284.42857142857*x       - we divide both sides of the equation by (284.42857142857) to get x
100/284.42857142857=x
0.35158211953792=x
x=0.35158211953792

now we have:
7 is 0.35158211953792% of 1991