455.5 is what percent of 490 - 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 490 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 490, so we can write it down as 100%=490.
4. We know, that x% equals 455.5 of the output value, so we can write it down as x%=455.5.
5. Now we have two simple equations:
1) 100%=490
2) x%=455.5
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%=490/455.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.5 is what percent of 490

100%/x%=490/455.5
(100/x)*x=(490/455.5)*x       - we multiply both sides of the equation by x
100=1.0757409440176*x       - we divide both sides of the equation by (1.0757409440176) to get x
100/1.0757409440176=x
92.959183673469=x
x=92.959183673469

now we have:
455.5 is 92.959183673469% of 490