490.85 is what percent of 1423 - 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 1423 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 1423, so we can write it down as 100%=1423.
4. We know, that x% equals 490.85 of the output value, so we can write it down as x%=490.85.
5. Now we have two simple equations:
1) 100%=1423
2) x%=490.85
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%=1423/490.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.85 is what percent of 1423

100%/x%=1423/490.85
(100/x)*x=(1423/490.85)*x       - we multiply both sides of the equation by x
100=2.8990526637466*x       - we divide both sides of the equation by (2.8990526637466) to get x
100/2.8990526637466=x
34.494026704146=x
x=34.494026704146

now we have:
490.85 is 34.494026704146% of 1423