35.77 is what percent of 446.21 - 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 446.21 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 446.21, so we can write it down as 100%=446.21.
4. We know, that x% equals 35.77 of the output value, so we can write it down as x%=35.77.
5. Now we have two simple equations:
1) 100%=446.21
2) x%=35.77
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%=446.21/35.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.77 is what percent of 446.21

100%/x%=446.21/35.77
(100/x)*x=(446.21/35.77)*x       - we multiply both sides of the equation by x
100=12.474419904948*x       - we divide both sides of the equation by (12.474419904948) to get x
100/12.474419904948=x
8.0164048318057=x
x=8.0164048318057

now we have:
35.77 is 8.0164048318057% of 446.21