1.47 is what percent of 49.07 - 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 49.07 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 49.07, so we can write it down as 100%=49.07.
4. We know, that x% equals 1.47 of the output value, so we can write it down as x%=1.47.
5. Now we have two simple equations:
1) 100%=49.07
2) x%=1.47
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%=49.07/1.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.47 is what percent of 49.07

100%/x%=49.07/1.47
(100/x)*x=(49.07/1.47)*x       - we multiply both sides of the equation by x
100=33.380952380952*x       - we divide both sides of the equation by (33.380952380952) to get x
100/33.380952380952=x
2.9957203994294=x
x=2.9957203994294

now we have:
1.47 is 2.9957203994294% of 49.07