361.41 is what percent of 1595.42 - 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 1595.42 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 1595.42, so we can write it down as 100%=1595.42.
4. We know, that x% equals 361.41 of the output value, so we can write it down as x%=361.41.
5. Now we have two simple equations:
1) 100%=1595.42
2) x%=361.41
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%=1595.42/361.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 361.41 is what percent of 1595.42

100%/x%=1595.42/361.41
(100/x)*x=(1595.42/361.41)*x       - we multiply both sides of the equation by x
100=4.4144323621372*x       - we divide both sides of the equation by (4.4144323621372) to get x
100/4.4144323621372=x
22.652969124118=x
x=22.652969124118

now we have:
361.41 is 22.652969124118% of 1595.42