431.75 is what percent of 811.5 - 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 811.5 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 811.5, so we can write it down as 100%=811.5.
4. We know, that x% equals 431.75 of the output value, so we can write it down as x%=431.75.
5. Now we have two simple equations:
1) 100%=811.5
2) x%=431.75
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%=811.5/431.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 431.75 is what percent of 811.5

100%/x%=811.5/431.75
(100/x)*x=(811.5/431.75)*x       - we multiply both sides of the equation by x
100=1.8795599305153*x       - we divide both sides of the equation by (1.8795599305153) to get x
100/1.8795599305153=x
53.203943314849=x
x=53.203943314849

now we have:
431.75 is 53.203943314849% of 811.5