80 is what percent of 139.99 - 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 139.99 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 139.99, so we can write it down as 100%=139.99.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=139.99
2) x%=80
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%=139.99/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 139.99

100%/x%=139.99/80
(100/x)*x=(139.99/80)*x - we multiply both sides of the equation by x
100=1.749875*x - we divide both sides of the equation by (1.749875) to get x
100/1.749875=x
57.=x
x=57.

now we have:
80 is 57.% of 139.99

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