361.5 is what percent of 401.5 - 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 401.5 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 401.5, so we can write it down as 100%=401.5.
4. We know, that x% equals 361.5 of the output value, so we can write it down as x%=361.5.
5. Now we have two simple equations:
1) 100%=401.5
2) x%=361.5
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%=401.5/361.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 361.5 is what percent of 401.5

100%/x%=401.5/361.5
(100/x)*x=(401.5/361.5)*x       - we multiply both sides of the equation by x
100=1.1106500691563*x       - we divide both sides of the equation by (1.1106500691563) to get x
100/1.1106500691563=x
90.037359900374=x
x=90.037359900374

now we have:
361.5 is 90.037359900374% of 401.5