What is 10.7 percent of 1664 - 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 1664 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 1664 is 100%, so we can write it down as 1664=100%.
4. We know, that x is 10.7% of the output value, so we can write it down as x=10.7%.
5. Now we have two simple equations:
1) 1664=100%
2) x=10.7%
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:
1664/x=100%/10.7%
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 10.7% of 1664

1664/x=100/10.7
(1664/x)*x=(100/10.7)*x       - we multiply both sides of the equation by x
1664=9.3457943925234*x       - we divide both sides of the equation by (9.3457943925234) to get x
1664/9.3457943925234=x
178.048=x
x=178.048

now we have:
10.7% of 1664=178.048