462.09 is what percent of 2369 - 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 2369 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 2369, so we can write it down as 100%=2369.
4. We know, that x% equals 462.09 of the output value, so we can write it down as x%=462.09.
5. Now we have two simple equations:
1) 100%=2369
2) x%=462.09
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%=2369/462.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.09 is what percent of 2369

100%/x%=2369/462.09
(100/x)*x=(2369/462.09)*x       - we multiply both sides of the equation by x
100=5.1267069185656*x       - we divide both sides of the equation by (5.1267069185656) to get x
100/5.1267069185656=x
19.505698607007=x
x=19.505698607007

now we have:
462.09 is 19.505698607007% of 2369