What is 5.7 percent of 164.9 - 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 164.9 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 164.9 is 100%, so we can write it down as 164.9=100%.
4. We know, that x is 5.7% of the output value, so we can write it down as x=5.7%.
5. Now we have two simple equations:
1) 164.9=100%
2) x=5.7%
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:
164.9/x=100%/5.7%
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 5.7% of 164.9

164.9/x=100/5.7
(164.9/x)*x=(100/5.7)*x       - we multiply both sides of the equation by x
164.9=17.543859649123*x       - we divide both sides of the equation by (17.543859649123) to get x
164.9/17.543859649123=x
9.3993=x
x=9.3993

now we have:
5.7% of 164.9=9.3993