45.22 is what percent of 452.22 - 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 452.22 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 452.22, so we can write it down as 100%=452.22.
4. We know, that x% equals 45.22 of the output value, so we can write it down as x%=45.22.
5. Now we have two simple equations:
1) 100%=452.22
2) x%=45.22
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%=452.22/45.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.22 is what percent of 452.22

100%/x%=452.22/45.22
(100/x)*x=(452.22/45.22)*x       - we multiply both sides of the equation by x
100=10.000442282176*x       - we divide both sides of the equation by (10.000442282176) to get x
100/10.000442282176=x
9.9995577373845=x
x=9.9995577373845

now we have:
45.22 is 9.9995577373845% of 452.22