80 is what percent of 1.45 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1.45 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 1.45, so we can write it down as 100%=1.45.
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%=1.45
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%=1.45/80
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 1.45

100%/x%=1.45/80
(100/x)*x=(1.45/80)*x       - we multiply both sides of the equation by x
100=0.018125*x       - we divide both sides of the equation by (0.018125) to get x
100/0.018125=x
5517.2413793103=x
x=5517.2413793103

now we have:
80 is 5517.2413793103% of 1.45