73 is what percent of 2603 - 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 2603 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 2603, so we can write it down as 100%=2603.
4. We know, that x% equals 73 of the output value, so we can write it down as x%=73.
5. Now we have two simple equations:
1) 100%=2603
2) x%=73
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%=2603/73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73 is what percent of 2603

100%/x%=2603/73
(100/x)*x=(2603/73)*x       - we multiply both sides of the equation by x
100=35.657534246575*x       - we divide both sides of the equation by (35.657534246575) to get x
100/35.657534246575=x
2.8044563964656=x
x=2.8044563964656

now we have:
73 is 2.8044563964656% of 2603

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