471.96 is what percent of 1845.34 - 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 1845.34 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 1845.34, so we can write it down as 100%=1845.34.
4. We know, that x% equals 471.96 of the output value, so we can write it down as x%=471.96.
5. Now we have two simple equations:
1) 100%=1845.34
2) x%=471.96
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%=1845.34/471.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.96 is what percent of 1845.34

100%/x%=1845.34/471.96
(100/x)*x=(1845.34/471.96)*x       - we multiply both sides of the equation by x
100=3.9099499957624*x       - we divide both sides of the equation by (3.9099499957624) to get x
100/3.9099499957624=x
25.575774653993=x
x=25.575774653993

now we have:
471.96 is 25.575774653993% of 1845.34