17 is what percent of 1.114 - 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 1.114 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 1.114, so we can write it down as 100%=1.114.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=1.114
2) x%=17
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%=1.114/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 1.114

100%/x%=1.114/17
(100/x)*x=(1.114/17)*x - we multiply both sides of the equation by x
100=0.706*x - we divide both sides of the equation by (0.706) to get x
100/0.706=x
185=x
x=185

now we have:
17 is 185% of 1.114

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