7 is what percent of 26500 - 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 26500 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 26500, so we can write it down as 100%=26500.
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%=26500
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%=26500/7
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 26500

100%/x%=26500/7
(100/x)*x=(26500/7)*x       - we multiply both sides of the equation by x
100=3785.7142857143*x       - we divide both sides of the equation by (3785.7142857143) to get x
100/3785.7142857143=x
0.026415094339623=x
x=0.026415094339623

now we have:
7 is 0.026415094339623% of 26500