2.46 is what percent of 46.44 - 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 46.44 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 46.44, so we can write it down as 100%=46.44.
4. We know, that x% equals 2.46 of the output value, so we can write it down as x%=2.46.
5. Now we have two simple equations:
1) 100%=46.44
2) x%=2.46
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%=46.44/2.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.46 is what percent of 46.44

100%/x%=46.44/2.46
(100/x)*x=(46.44/2.46)*x       - we multiply both sides of the equation by x
100=18.878048780488*x       - we divide both sides of the equation by (18.878048780488) to get x
100/18.878048780488=x
5.297157622739=x
x=5.297157622739

now we have:
2.46 is 5.297157622739% of 46.44