305.63 is what percent of 1485.86 - 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 1485.86 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 1485.86, so we can write it down as 100%=1485.86.
4. We know, that x% equals 305.63 of the output value, so we can write it down as x%=305.63.
5. Now we have two simple equations:
1) 100%=1485.86
2) x%=305.63
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%=1485.86/305.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.63 is what percent of 1485.86

100%/x%=1485.86/305.63
(100/x)*x=(1485.86/305.63)*x       - we multiply both sides of the equation by x
100=4.8616300755816*x       - we divide both sides of the equation by (4.8616300755816) to get x
100/4.8616300755816=x
20.569232632953=x
x=20.569232632953

now we have:
305.63 is 20.569232632953% of 1485.86