143.52 is what percent of 2314.9 - 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 2314.9 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 2314.9, so we can write it down as 100%=2314.9.
4. We know, that x% equals 143.52 of the output value, so we can write it down as x%=143.52.
5. Now we have two simple equations:
1) 100%=2314.9
2) x%=143.52
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%=2314.9/143.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.52 is what percent of 2314.9

100%/x%=2314.9/143.52
(100/x)*x=(2314.9/143.52)*x       - we multiply both sides of the equation by x
100=16.129459308807*x       - we divide both sides of the equation by (16.129459308807) to get x
100/16.129459308807=x
6.1998358460409=x
x=6.1998358460409

now we have:
143.52 is 6.1998358460409% of 2314.9