What is 1.96 percent of 288.46 - 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 288.46 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 288.46 is 100%, so we can write it down as 288.46=100%.
4. We know, that x is 1.96% of the output value, so we can write it down as x=1.96%.
5. Now we have two simple equations:
1) 288.46=100%
2) x=1.96%
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:
288.46/x=100%/1.96%
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 1.96% of 288.46

288.46/x=100/1.96
(288.46/x)*x=(100/1.96)*x       - we multiply both sides of the equation by x
288.46=51.020408163265*x       - we divide both sides of the equation by (51.020408163265) to get x
288.46/51.020408163265=x
5.653816=x
x=5.653816

now we have:
1.96% of 288.46=5.653816