37.11 is what percent of 455.42 - 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 455.42 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 455.42, so we can write it down as 100%=455.42.
4. We know, that x% equals 37.11 of the output value, so we can write it down as x%=37.11.
5. Now we have two simple equations:
1) 100%=455.42
2) x%=37.11
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%=455.42/37.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.11 is what percent of 455.42

100%/x%=455.42/37.11
(100/x)*x=(455.42/37.11)*x       - we multiply both sides of the equation by x
100=12.272163837241*x       - we divide both sides of the equation by (12.272163837241) to get x
100/12.272163837241=x
8.1485222432041=x
x=8.1485222432041

now we have:
37.11 is 8.1485222432041% of 455.42