137.8 is what percent of 143.8 - 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 143.8 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 143.8, so we can write it down as 100%=143.8.
4. We know, that x% equals 137.8 of the output value, so we can write it down as x%=137.8.
5. Now we have two simple equations:
1) 100%=143.8
2) x%=137.8
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%=143.8/137.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.8 is what percent of 143.8

100%/x%=143.8/137.8
(100/x)*x=(143.8/137.8)*x       - we multiply both sides of the equation by x
100=1.0435413642961*x       - we divide both sides of the equation by (1.0435413642961) to get x
100/1.0435413642961=x
95.827538247566=x
x=95.827538247566

now we have:
137.8 is 95.827538247566% of 143.8