What is 67.5 percent of 0.45 - 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 0.45 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 0.45 is 100%, so we can write it down as 0.45=100%.
4. We know, that x is 67.5% of the output value, so we can write it down as x=67.5%.
5. Now we have two simple equations:
1) 0.45=100%
2) x=67.5%
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:
0.45/x=100%/67.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 67.5% of 0.45

0.45/x=100/67.5
(0.45/x)*x=(100/67.5)*x       - we multiply both sides of the equation by x
0.45=1.4814814814815*x       - we divide both sides of the equation by (1.4814814814815) to get x
0.45/1.4814814814815=x
0.30375=x
x=0.30375

now we have:
67.5% of 0.45=0.30375