45.44 is what percent of 64.96 - 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 64.96 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 64.96, so we can write it down as 100%=64.96.
4. We know, that x% equals 45.44 of the output value, so we can write it down as x%=45.44.
5. Now we have two simple equations:
1) 100%=64.96
2) x%=45.44
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%=64.96/45.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.44 is what percent of 64.96

100%/x%=64.96/45.44
(100/x)*x=(64.96/45.44)*x       - we multiply both sides of the equation by x
100=1.4295774647887*x       - we divide both sides of the equation by (1.4295774647887) to get x
100/1.4295774647887=x
69.950738916256=x
x=69.950738916256

now we have:
45.44 is 69.950738916256% of 64.96