What is 2.99 percent of 0.163 - 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 0.163 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 0.163 is 100%, so we can write it down as 0.163=100%.
4. We know, that x is 2.99% of the output value, so we can write it down as x=2.99%.
5. Now we have two simple equations:
1) 0.163=100%
2) x=2.99%
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:
0.163/x=100%/2.99%
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 2.99% of 0.163

0.163/x=100/2.99
(0.163/x)*x=(100/2.99)*x       - we multiply both sides of the equation by x
0.163=33.444816053512*x       - we divide both sides of the equation by (33.444816053512) to get x
0.163/33.444816053512=x
0.0048737=x
x=0.0048737

now we have:
2.99% of 0.163=0.0048737