412.65 is what percent of 1815.23 - 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 1815.23 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 1815.23, so we can write it down as 100%=1815.23.
4. We know, that x% equals 412.65 of the output value, so we can write it down as x%=412.65.
5. Now we have two simple equations:
1) 100%=1815.23
2) x%=412.65
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%=1815.23/412.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 412.65 is what percent of 1815.23

100%/x%=1815.23/412.65
(100/x)*x=(1815.23/412.65)*x       - we multiply both sides of the equation by x
100=4.3989579546831*x       - we divide both sides of the equation by (4.3989579546831) to get x
100/4.3989579546831=x
22.732656467775=x
x=22.732656467775

now we have:
412.65 is 22.732656467775% of 1815.23