445.2 is what percent of 1146.3 - 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 1146.3 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 1146.3, so we can write it down as 100%=1146.3.
4. We know, that x% equals 445.2 of the output value, so we can write it down as x%=445.2.
5. Now we have two simple equations:
1) 100%=1146.3
2) x%=445.2
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%=1146.3/445.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 445.2 is what percent of 1146.3

100%/x%=1146.3/445.2
(100/x)*x=(1146.3/445.2)*x       - we multiply both sides of the equation by x
100=2.5747978436658*x       - we divide both sides of the equation by (2.5747978436658) to get x
100/2.5747978436658=x
38.838000523423=x
x=38.838000523423

now we have:
445.2 is 38.838000523423% of 1146.3