11 is what percent of 180 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 180 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 180, so we can write it down as 100%=180.
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%=180
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%=180/11
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 180

100%/x%=180/11
(100/x)*x=(180/11)*x - we multiply both sides of the equation by x
100=16.*x - we divide both sides of the equation by (16.) to get x
100/16.=x
6.1=x
x=6.1

now we have:
11 is 6.1% of 180

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