What is 45.454545454546 percent of 990 - 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 990 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 990 is 100%, so we can write it down as 990=100%.
4. We know, that x is 45.454545454546% of the output value, so we can write it down as x=45.454545454546%.
5. Now we have two simple equations:
1) 990=100%
2) x=45.454545454546%
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:
990/x=100%/45.454545454546%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45.454545454546% of 990

990/x=100/45.454545454546
(990/x)*x=(100/45.454545454546)*x       - we multiply both sides of the equation by x
990=2.2*x       - we divide both sides of the equation by (2.2) to get x
990/2.2=x
450=x
x=450

now we have:
45.454545454546% of 990=450