410.23 is what percent of 2300.8 - 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 2300.8 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 2300.8, so we can write it down as 100%=2300.8.
4. We know, that x% equals 410.23 of the output value, so we can write it down as x%=410.23.
5. Now we have two simple equations:
1) 100%=2300.8
2) x%=410.23
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%=2300.8/410.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 410.23 is what percent of 2300.8

100%/x%=2300.8/410.23
(100/x)*x=(2300.8/410.23)*x       - we multiply both sides of the equation by x
100=5.6085610511177*x       - we divide both sides of the equation by (5.6085610511177) to get x
100/5.6085610511177=x
17.829885257302=x
x=17.829885257302

now we have:
410.23 is 17.829885257302% of 2300.8