145.48 is what percent of 2444.7 - 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 2444.7 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 2444.7, so we can write it down as 100%=2444.7.
4. We know, that x% equals 145.48 of the output value, so we can write it down as x%=145.48.
5. Now we have two simple equations:
1) 100%=2444.7
2) x%=145.48
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%=2444.7/145.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.48 is what percent of 2444.7

100%/x%=2444.7/145.48
(100/x)*x=(2444.7/145.48)*x       - we multiply both sides of the equation by x
100=16.804371734946*x       - we divide both sides of the equation by (16.804371734946) to get x
100/16.804371734946=x
5.950832412975=x
x=5.950832412975

now we have:
145.48 is 5.950832412975% of 2444.7