What is 1.7 percent of 160.42 - 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 160.42 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 160.42 is 100%, so we can write it down as 160.42=100%.
4. We know, that x is 1.7% of the output value, so we can write it down as x=1.7%.
5. Now we have two simple equations:
1) 160.42=100%
2) x=1.7%
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:
160.42/x=100%/1.7%
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 1.7% of 160.42

160.42/x=100/1.7
(160.42/x)*x=(100/1.7)*x       - we multiply both sides of the equation by x
160.42=58.823529411765*x       - we divide both sides of the equation by (58.823529411765) to get x
160.42/58.823529411765=x
2.72714=x
x=2.72714

now we have:
1.7% of 160.42=2.72714