533.1 is what percent of 5450 - 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 5450 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 5450, so we can write it down as 100%=5450.
4. We know, that x% equals 533.1 of the output value, so we can write it down as x%=533.1.
5. Now we have two simple equations:
1) 100%=5450
2) x%=533.1
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%=5450/533.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 533.1 is what percent of 5450

100%/x%=5450/533.1
(100/x)*x=(5450/533.1)*x       - we multiply both sides of the equation by x
100=10.223222659914*x       - we divide both sides of the equation by (10.223222659914) to get x
100/10.223222659914=x
9.7816513761468=x
x=9.7816513761468

now we have:
533.1 is 9.7816513761468% of 5450