143.82 is what percent of 1320 - 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 1320 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 1320, so we can write it down as 100%=1320.
4. We know, that x% equals 143.82 of the output value, so we can write it down as x%=143.82.
5. Now we have two simple equations:
1) 100%=1320
2) x%=143.82
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%=1320/143.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.82 is what percent of 1320

100%/x%=1320/143.82
(100/x)*x=(1320/143.82)*x       - we multiply both sides of the equation by x
100=9.1781393408427*x       - we divide both sides of the equation by (9.1781393408427) to get x
100/9.1781393408427=x
10.895454545455=x
x=10.895454545455

now we have:
143.82 is 10.895454545455% of 1320