5.54 is what percent of 75.35 - 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 75.35 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 75.35, so we can write it down as 100%=75.35.
4. We know, that x% equals 5.54 of the output value, so we can write it down as x%=5.54.
5. Now we have two simple equations:
1) 100%=75.35
2) x%=5.54
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%=75.35/5.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.54 is what percent of 75.35

100%/x%=75.35/5.54
(100/x)*x=(75.35/5.54)*x       - we multiply both sides of the equation by x
100=13.601083032491*x       - we divide both sides of the equation by (13.601083032491) to get x
100/13.601083032491=x
7.3523556735236=x
x=7.3523556735236

now we have:
5.54 is 7.3523556735236% of 75.35