What is 21.03 percent of 179.97 - 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 179.97 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 179.97 is 100%, so we can write it down as 179.97=100%.
4. We know, that x is 21.03% of the output value, so we can write it down as x=21.03%.
5. Now we have two simple equations:
1) 179.97=100%
2) x=21.03%
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:
179.97/x=100%/21.03%
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 21.03% of 179.97

179.97/x=100/21.03
(179.97/x)*x=(100/21.03)*x       - we multiply both sides of the equation by x
179.97=4.755111745126*x       - we divide both sides of the equation by (4.755111745126) to get x
179.97/4.755111745126=x
37.847691=x
x=37.847691

now we have:
21.03% of 179.97=37.847691