543.68 is what percent of 1355.2 - 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 1355.2 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 1355.2, so we can write it down as 100%=1355.2.
4. We know, that x% equals 543.68 of the output value, so we can write it down as x%=543.68.
5. Now we have two simple equations:
1) 100%=1355.2
2) x%=543.68
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%=1355.2/543.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 543.68 is what percent of 1355.2

100%/x%=1355.2/543.68
(100/x)*x=(1355.2/543.68)*x       - we multiply both sides of the equation by x
100=2.4926427310182*x       - we divide both sides of the equation by (2.4926427310182) to get x
100/2.4926427310182=x
40.118063754427=x
x=40.118063754427

now we have:
543.68 is 40.118063754427% of 1355.2