1.64 is what percent of 112.5 - 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 112.5 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 112.5, so we can write it down as 100%=112.5.
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%=112.5
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%=112.5/1.64
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 112.5

100%/x%=112.5/1.64
(100/x)*x=(112.5/1.64)*x       - we multiply both sides of the equation by x
100=68.59756097561*x       - we divide both sides of the equation by (68.59756097561) to get x
100/68.59756097561=x
1.4577777777778=x
x=1.4577777777778

now we have:
1.64 is 1.4577777777778% of 112.5