365.16 is what percent of 410.2 - 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 410.2 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 410.2, so we can write it down as 100%=410.2.
4. We know, that x% equals 365.16 of the output value, so we can write it down as x%=365.16.
5. Now we have two simple equations:
1) 100%=410.2
2) x%=365.16
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%=410.2/365.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.16 is what percent of 410.2

100%/x%=410.2/365.16
(100/x)*x=(410.2/365.16)*x       - we multiply both sides of the equation by x
100=1.1233431920254*x       - we divide both sides of the equation by (1.1233431920254) to get x
100/1.1233431920254=x
89.019990248659=x
x=89.019990248659

now we have:
365.16 is 89.019990248659% of 410.2