1.46 is what percent of 48.82 - 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 48.82 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 48.82, so we can write it down as 100%=48.82.
4. We know, that x% equals 1.46 of the output value, so we can write it down as x%=1.46.
5. Now we have two simple equations:
1) 100%=48.82
2) x%=1.46
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%=48.82/1.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.46 is what percent of 48.82

100%/x%=48.82/1.46
(100/x)*x=(48.82/1.46)*x       - we multiply both sides of the equation by x
100=33.438356164384*x       - we divide both sides of the equation by (33.438356164384) to get x
100/33.438356164384=x
2.990577632118=x
x=2.990577632118

now we have:
1.46 is 2.990577632118% of 48.82