1600.42 is what percent of 30184.99 - 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 30184.99 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 30184.99, so we can write it down as 100%=30184.99.
4. We know, that x% equals 1600.42 of the output value, so we can write it down as x%=1600.42.
5. Now we have two simple equations:
1) 100%=30184.99
2) x%=1600.42
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%=30184.99/1600.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1600.42 is what percent of 30184.99

100%/x%=30184.99/1600.42
(100/x)*x=(30184.99/1600.42)*x       - we multiply both sides of the equation by x
100=18.860667824696*x       - we divide both sides of the equation by (18.860667824696) to get x
100/18.860667824696=x
5.302039192327=x
x=5.302039192327

now we have:
1600.42 is 5.302039192327% of 30184.99