11 is what percent of 1625 - 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 1625 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 1625, so we can write it down as 100%=1625.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=1625
2) x%=11
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%=1625/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 1625

100%/x%=1625/11
(100/x)*x=(1625/11)*x       - we multiply both sides of the equation by x
100=147.72727272727*x       - we divide both sides of the equation by (147.72727272727) to get x
100/147.72727272727=x
0.67692307692308=x
x=0.67692307692308

now we have:
11 is 0.67692307692308% of 1625