24.83 is what percent of 223.5 - 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 223.5 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 223.5, so we can write it down as 100%=223.5.
4. We know, that x% equals 24.83 of the output value, so we can write it down as x%=24.83.
5. Now we have two simple equations:
1) 100%=223.5
2) x%=24.83
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%=223.5/24.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.83 is what percent of 223.5

100%/x%=223.5/24.83
(100/x)*x=(223.5/24.83)*x       - we multiply both sides of the equation by x
100=9.0012082158679*x       - we divide both sides of the equation by (9.0012082158679) to get x
100/9.0012082158679=x
11.109619686801=x
x=11.109619686801

now we have:
24.83 is 11.109619686801% of 223.5

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