1054.5 is what percent of 1143 - 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 1143 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 1143, so we can write it down as 100%=1143.
4. We know, that x% equals 1054.5 of the output value, so we can write it down as x%=1054.5.
5. Now we have two simple equations:
1) 100%=1143
2) x%=1054.5
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%=1143/1054.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1054.5 is what percent of 1143

100%/x%=1143/1054.5
(100/x)*x=(1143/1054.5)*x       - we multiply both sides of the equation by x
100=1.0839260312945*x       - we divide both sides of the equation by (1.0839260312945) to get x
100/1.0839260312945=x
92.257217847769=x
x=92.257217847769

now we have:
1054.5 is 92.257217847769% of 1143