80.99 is what percent of 0.45 - 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 0.45 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 0.45, so we can write it down as 100%=0.45.
4. We know, that x% equals 80.99 of the output value, so we can write it down as x%=80.99.
5. Now we have two simple equations:
1) 100%=0.45
2) x%=80.99
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%=0.45/80.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.99 is what percent of 0.45

100%/x%=0.45/80.99
(100/x)*x=(0.45/80.99)*x       - we multiply both sides of the equation by x
100=0.0055562415112977*x       - we divide both sides of the equation by (0.0055562415112977) to get x
100/0.0055562415112977=x
17997.777777778=x
x=17997.777777778

now we have:
80.99 is 17997.777777778% of 0.45