5342.5 is what percent of 28623.14 - 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 28623.14 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 28623.14, so we can write it down as 100%=28623.14.
4. We know, that x% equals 5342.5 of the output value, so we can write it down as x%=5342.5.
5. Now we have two simple equations:
1) 100%=28623.14
2) x%=5342.5
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%=28623.14/5342.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5342.5 is what percent of 28623.14

100%/x%=28623.14/5342.5
(100/x)*x=(28623.14/5342.5)*x       - we multiply both sides of the equation by x
100=5.3576303228825*x       - we divide both sides of the equation by (5.3576303228825) to get x
100/5.3576303228825=x
18.664968273921=x
x=18.664968273921

now we have:
5342.5 is 18.664968273921% of 28623.14