6.75 is what percent of 54.135 - 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 54.135 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 54.135, so we can write it down as 100%=54.135.
4. We know, that x% equals 6.75 of the output value, so we can write it down as x%=6.75.
5. Now we have two simple equations:
1) 100%=54.135
2) x%=6.75
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%=54.135/6.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.75 is what percent of 54.135

100%/x%=54.135/6.75
(100/x)*x=(54.135/6.75)*x       - we multiply both sides of the equation by x
100=8.02*x       - we divide both sides of the equation by (8.02) to get x
100/8.02=x
12.468827930175=x
x=12.468827930175

now we have:
6.75 is 12.468827930175% of 54.135