182.2 is what percent of 900 - 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 900 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 900, so we can write it down as 100%=900.
4. We know, that x% equals 182.2 of the output value, so we can write it down as x%=182.2.
5. Now we have two simple equations:
1) 100%=900
2) x%=182.2
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%=900/182.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 182.2 is what percent of 900

100%/x%=900/182.2
(100/x)*x=(900/182.2)*x       - we multiply both sides of the equation by x
100=4.9396267837541*x       - we divide both sides of the equation by (4.9396267837541) to get x
100/4.9396267837541=x
20.244444444444=x
x=20.244444444444

now we have:
182.2 is 20.244444444444% of 900