283.2 is what percent of 175.23 - 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 175.23 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 175.23, so we can write it down as 100%=175.23.
4. We know, that x% equals 283.2 of the output value, so we can write it down as x%=283.2.
5. Now we have two simple equations:
1) 100%=175.23
2) x%=283.2
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%=175.23/283.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 283.2 is what percent of 175.23

100%/x%=175.23/283.2
(100/x)*x=(175.23/283.2)*x       - we multiply both sides of the equation by x
100=0.61875*x       - we divide both sides of the equation by (0.61875) to get x
100/0.61875=x
161.61616161616=x
x=161.61616161616

now we have:
283.2 is 161.61616161616% of 175.23