What is 42.81 percent of 214.65 - 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 214.65 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 214.65 is 100%, so we can write it down as 214.65=100%.
4. We know, that x is 42.81% of the output value, so we can write it down as x=42.81%.
5. Now we have two simple equations:
1) 214.65=100%
2) x=42.81%
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:
214.65/x=100%/42.81%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 42.81% of 214.65

214.65/x=100/42.81
(214.65/x)*x=(100/42.81)*x       - we multiply both sides of the equation by x
214.65=2.3359028264424*x       - we divide both sides of the equation by (2.3359028264424) to get x
214.65/2.3359028264424=x
91.891665=x
x=91.891665

now we have:
42.81% of 214.65=91.891665