42.84 is what percent of 1615.38 - 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 1615.38 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 1615.38, so we can write it down as 100%=1615.38.
4. We know, that x% equals 42.84 of the output value, so we can write it down as x%=42.84.
5. Now we have two simple equations:
1) 100%=1615.38
2) x%=42.84
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%=1615.38/42.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.84 is what percent of 1615.38

100%/x%=1615.38/42.84
(100/x)*x=(1615.38/42.84)*x       - we multiply both sides of the equation by x
100=37.707282913165*x       - we divide both sides of the equation by (37.707282913165) to get x
100/37.707282913165=x
2.6520075771645=x
x=2.6520075771645

now we have:
42.84 is 2.6520075771645% of 1615.38