55 is what percent of 555 - 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 555 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 555, so we can write it down as 100%=555.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=555
2) x%=55
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%=555/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 555

100%/x%=555/55
(100/x)*x=(555/55)*x - we multiply both sides of the equation by x
100=10.*x - we divide both sides of the equation by (10.) to get x
100/10.=x
9.9=x
x=9.9

now we have:
55 is 9.9% of 555

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