143.83 is what percent of 646 - 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 646 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 646, so we can write it down as 100%=646.
4. We know, that x% equals 143.83 of the output value, so we can write it down as x%=143.83.
5. Now we have two simple equations:
1) 100%=646
2) x%=143.83
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%=646/143.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.83 is what percent of 646

100%/x%=646/143.83
(100/x)*x=(646/143.83)*x       - we multiply both sides of the equation by x
100=4.4914134742404*x       - we divide both sides of the equation by (4.4914134742404) to get x
100/4.4914134742404=x
22.264705882353=x
x=22.264705882353

now we have:
143.83 is 22.264705882353% of 646