46.42 is what percent of 1981.8 - 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 1981.8 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 1981.8, so we can write it down as 100%=1981.8.
4. We know, that x% equals 46.42 of the output value, so we can write it down as x%=46.42.
5. Now we have two simple equations:
1) 100%=1981.8
2) x%=46.42
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%=1981.8/46.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.42 is what percent of 1981.8

100%/x%=1981.8/46.42
(100/x)*x=(1981.8/46.42)*x       - we multiply both sides of the equation by x
100=42.692804825506*x       - we divide both sides of the equation by (42.692804825506) to get x
100/42.692804825506=x
2.3423150671107=x
x=2.3423150671107

now we have:
46.42 is 2.3423150671107% of 1981.8