283.68 is what percent of 1720 - 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 1720 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 1720, so we can write it down as 100%=1720.
4. We know, that x% equals 283.68 of the output value, so we can write it down as x%=283.68.
5. Now we have two simple equations:
1) 100%=1720
2) x%=283.68
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%=1720/283.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 283.68 is what percent of 1720

100%/x%=1720/283.68
(100/x)*x=(1720/283.68)*x       - we multiply both sides of the equation by x
100=6.0631697687535*x       - we divide both sides of the equation by (6.0631697687535) to get x
100/6.0631697687535=x
16.493023255814=x
x=16.493023255814

now we have:
283.68 is 16.493023255814% of 1720