0.45 is what percent of 0.65 - 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 0.65 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 0.65, so we can write it down as 100%=0.65.
4. We know, that x% equals 0.45 of the output value, so we can write it down as x%=0.45.
5. Now we have two simple equations:
1) 100%=0.65
2) x%=0.45
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%=0.65/0.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.45 is what percent of 0.65

100%/x%=0.65/0.45
(100/x)*x=(0.65/0.45)*x       - we multiply both sides of the equation by x
100=1.4444444444444*x       - we divide both sides of the equation by (1.4444444444444) to get x
100/1.4444444444444=x
69.230769230769=x
x=69.230769230769

now we have:
0.45 is 69.230769230769% of 0.65