What is 19.49 percent of 164.2 - 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 164.2 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 164.2 is 100%, so we can write it down as 164.2=100%.
4. We know, that x is 19.49% of the output value, so we can write it down as x=19.49%.
5. Now we have two simple equations:
1) 164.2=100%
2) x=19.49%
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:
164.2/x=100%/19.49%
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 19.49% of 164.2

164.2/x=100/19.49
(164.2/x)*x=(100/19.49)*x       - we multiply both sides of the equation by x
164.2=5.1308363263212*x       - we divide both sides of the equation by (5.1308363263212) to get x
164.2/5.1308363263212=x
32.00258=x
x=32.00258

now we have:
19.49% of 164.2=32.00258