45 is what percent of 54.22 - 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 54.22 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 54.22, so we can write it down as 100%=54.22.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=54.22
2) x%=45
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%=54.22/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 54.22

100%/x%=54.22/45
(100/x)*x=(54.22/45)*x       - we multiply both sides of the equation by x
100=1.2048888888889*x       - we divide both sides of the equation by (1.2048888888889) to get x
100/1.2048888888889=x
82.995204721505=x
x=82.995204721505

now we have:
45 is 82.995204721505% of 54.22