103.13 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 103.13 of the output value, so we can write it down as x%=103.13.
5. Now we have two simple equations:
1) 100%=6000
2) x%=103.13
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%=6000/103.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.13 is what percent of 6000

100%/x%=6000/103.13
(100/x)*x=(6000/103.13)*x       - we multiply both sides of the equation by x
100=58.178997381945*x       - we divide both sides of the equation by (58.178997381945) to get x
100/58.178997381945=x
1.7188333333333=x
x=1.7188333333333

now we have:
103.13 is 1.7188333333333% of 6000