143.51 is what percent of 1223.15 - 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 1223.15 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 1223.15, so we can write it down as 100%=1223.15.
4. We know, that x% equals 143.51 of the output value, so we can write it down as x%=143.51.
5. Now we have two simple equations:
1) 100%=1223.15
2) x%=143.51
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%=1223.15/143.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.51 is what percent of 1223.15

100%/x%=1223.15/143.51
(100/x)*x=(1223.15/143.51)*x       - we multiply both sides of the equation by x
100=8.5230994355794*x       - we divide both sides of the equation by (8.5230994355794) to get x
100/8.5230994355794=x
11.732820994972=x
x=11.732820994972

now we have:
143.51 is 11.732820994972% of 1223.15