490.72 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 490.72 of the output value, so we can write it down as x%=490.72.
5. Now we have two simple equations:
1) 100%=1423
2) x%=490.72
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%=1423/490.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.72 is what percent of 1423

100%/x%=1423/490.72
(100/x)*x=(1423/490.72)*x       - we multiply both sides of the equation by x
100=2.8998206716661*x       - we divide both sides of the equation by (2.8998206716661) to get x
100/2.8998206716661=x
34.484891075193=x
x=34.484891075193

now we have:
490.72 is 34.484891075193% of 1423