What is 2.29 percent of 523.16 - 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 523.16 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 523.16 is 100%, so we can write it down as 523.16=100%.
4. We know, that x is 2.29% of the output value, so we can write it down as x=2.29%.
5. Now we have two simple equations:
1) 523.16=100%
2) x=2.29%
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:
523.16/x=100%/2.29%
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 2.29% of 523.16

523.16/x=100/2.29
(523.16/x)*x=(100/2.29)*x       - we multiply both sides of the equation by x
523.16=43.668122270742*x       - we divide both sides of the equation by (43.668122270742) to get x
523.16/43.668122270742=x
11.980364=x
x=11.980364

now we have:
2.29% of 523.16=11.980364