What is 67.5 percent of 67.5 - 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 67.5 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 67.5 is 100%, so we can write it down as 67.5=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) 67.5=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:
67.5/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 67.5

67.5/x=100/67.5
(67.5/x)*x=(100/67.5)*x       - we multiply both sides of the equation by x
67.5=1.4814814814815*x       - we divide both sides of the equation by (1.4814814814815) to get x
67.5/1.4814814814815=x
45.5625=x
x=45.5625

now we have:
67.5% of 67.5=45.5625