2.41 is what percent of 22.59 - 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 22.59 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 22.59, so we can write it down as 100%=22.59.
4. We know, that x% equals 2.41 of the output value, so we can write it down as x%=2.41.
5. Now we have two simple equations:
1) 100%=22.59
2) x%=2.41
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%=22.59/2.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.41 is what percent of 22.59

100%/x%=22.59/2.41
(100/x)*x=(22.59/2.41)*x       - we multiply both sides of the equation by x
100=9.3734439834025*x       - we divide both sides of the equation by (9.3734439834025) to get x
100/9.3734439834025=x
10.668437361664=x
x=10.668437361664

now we have:
2.41 is 10.668437361664% of 22.59

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