0.61 is what percent of 2.07 - 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 2.07 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 2.07, so we can write it down as 100%=2.07.
4. We know, that x% equals 0.61 of the output value, so we can write it down as x%=0.61.
5. Now we have two simple equations:
1) 100%=2.07
2) x%=0.61
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%=2.07/0.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.61 is what percent of 2.07

100%/x%=2.07/0.61
(100/x)*x=(2.07/0.61)*x       - we multiply both sides of the equation by x
100=3.3934426229508*x       - we divide both sides of the equation by (3.3934426229508) to get x
100/3.3934426229508=x
29.468599033816=x
x=29.468599033816

now we have:
0.61 is 29.468599033816% of 2.07

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