1.64 is what percent of 16.49 - 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 16.49 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 100% equals 16.49, so we can write it down as 100%=16.49.
4. We know, that x% equals 1.64 of the output value, so we can write it down as x%=1.64.
5. Now we have two simple equations:
1) 100%=16.49
2) x%=1.64
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:
100%/x%=16.49/1.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.64 is what percent of 16.49

100%/x%=16.49/1.64
(100/x)*x=(16.49/1.64)*x       - we multiply both sides of the equation by x
100=10.05487804878*x       - we divide both sides of the equation by (10.05487804878) to get x
100/10.05487804878=x
9.9454214675561=x
x=9.9454214675561

now we have:
1.64 is 9.9454214675561% of 16.49