6.54 is what percent of 4.48 - 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 4.48 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 4.48, so we can write it down as 100%=4.48.
4. We know, that x% equals 6.54 of the output value, so we can write it down as x%=6.54.
5. Now we have two simple equations:
1) 100%=4.48
2) x%=6.54
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%=4.48/6.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.54 is what percent of 4.48

100%/x%=4.48/6.54
(100/x)*x=(4.48/6.54)*x       - we multiply both sides of the equation by x
100=0.68501529051988*x       - we divide both sides of the equation by (0.68501529051988) to get x
100/0.68501529051988=x
145.98214285714=x
x=145.98214285714

now we have:
6.54 is 145.98214285714% of 4.48