45.77 is what percent of 395 - 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 395 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 395, so we can write it down as 100%=395.
4. We know, that x% equals 45.77 of the output value, so we can write it down as x%=45.77.
5. Now we have two simple equations:
1) 100%=395
2) x%=45.77
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%=395/45.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.77 is what percent of 395

100%/x%=395/45.77
(100/x)*x=(395/45.77)*x       - we multiply both sides of the equation by x
100=8.6301070570243*x       - we divide both sides of the equation by (8.6301070570243) to get x
100/8.6301070570243=x
11.587341772152=x
x=11.587341772152

now we have:
45.77 is 11.587341772152% of 395