168.43 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 168.43 of the output value, so we can write it down as x%=168.43.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=168.43
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%=283.2/168.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.43 is what percent of 283.2

100%/x%=283.2/168.43
(100/x)*x=(283.2/168.43)*x       - we multiply both sides of the equation by x
100=1.6814106750579*x       - we divide both sides of the equation by (1.6814106750579) to get x
100/1.6814106750579=x
59.473870056497=x
x=59.473870056497

now we have:
168.43 is 59.473870056497% of 283.2