1.64 is what percent of 7.5 - 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 7.5 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 7.5, so we can write it down as 100%=7.5.
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%=7.5
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%=7.5/1.64
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 7.5

100%/x%=7.5/1.64
(100/x)*x=(7.5/1.64)*x       - we multiply both sides of the equation by x
100=4.5731707317073*x       - we divide both sides of the equation by (4.5731707317073) to get x
100/4.5731707317073=x
21.866666666667=x
x=21.866666666667

now we have:
1.64 is 21.866666666667% of 7.5