18.199 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 18.199 of the output value, so we can write it down as x%=18.199.
5. Now we have two simple equations:
1) 100%=2
2) x%=18.199
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%=2/18.199
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.199 is what percent of 2

100%/x%=2/18.199
(100/x)*x=(2/18.199)*x       - we multiply both sides of the equation by x
100=0.10989614814001*x       - we divide both sides of the equation by (0.10989614814001) to get x
100/0.10989614814001=x
909.95=x
x=909.95

now we have:
18.199 is 909.95% of 2

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