42.78 is what percent of 1680 - 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 1680 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 1680, so we can write it down as 100%=1680.
4. We know, that x% equals 42.78 of the output value, so we can write it down as x%=42.78.
5. Now we have two simple equations:
1) 100%=1680
2) x%=42.78
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%=1680/42.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.78 is what percent of 1680

100%/x%=1680/42.78
(100/x)*x=(1680/42.78)*x       - we multiply both sides of the equation by x
100=39.270687237027*x       - we divide both sides of the equation by (39.270687237027) to get x
100/39.270687237027=x
2.5464285714286=x
x=2.5464285714286

now we have:
42.78 is 2.5464285714286% of 1680