421.8 is what percent of 436 - 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 436 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 436, so we can write it down as 100%=436.
4. We know, that x% equals 421.8 of the output value, so we can write it down as x%=421.8.
5. Now we have two simple equations:
1) 100%=436
2) x%=421.8
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%=436/421.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 421.8 is what percent of 436

100%/x%=436/421.8
(100/x)*x=(436/421.8)*x       - we multiply both sides of the equation by x
100=1.0336652441916*x       - we divide both sides of the equation by (1.0336652441916) to get x
100/1.0336652441916=x
96.743119266055=x
x=96.743119266055

now we have:
421.8 is 96.743119266055% of 436