192.21 is what percent of 2.5 - 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 2.5 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 2.5, so we can write it down as 100%=2.5.
4. We know, that x% equals 192.21 of the output value, so we can write it down as x%=192.21.
5. Now we have two simple equations:
1) 100%=2.5
2) x%=192.21
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%=2.5/192.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 192.21 is what percent of 2.5

100%/x%=2.5/192.21
(100/x)*x=(2.5/192.21)*x       - we multiply both sides of the equation by x
100=0.013006607356537*x       - we divide both sides of the equation by (0.013006607356537) to get x
100/0.013006607356537=x
7688.4=x
x=7688.4

now we have:
192.21 is 7688.4% of 2.5

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