What is 2.65 percent of 213.6 - 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 213.6 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 213.6 is 100%, so we can write it down as 213.6=100%.
4. We know, that x is 2.65% of the output value, so we can write it down as x=2.65%.
5. Now we have two simple equations:
1) 213.6=100%
2) x=2.65%
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:
213.6/x=100%/2.65%
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 2.65% of 213.6

213.6/x=100/2.65
(213.6/x)*x=(100/2.65)*x       - we multiply both sides of the equation by x
213.6=37.735849056604*x       - we divide both sides of the equation by (37.735849056604) to get x
213.6/37.735849056604=x
5.6604=x
x=5.6604

now we have:
2.65% of 213.6=5.6604