9.34 is what percent of 533.5 - 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 533.5 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 100% equals 533.5, so we can write it down as 100%=533.5.
4. We know, that x% equals 9.34 of the output value, so we can write it down as x%=9.34.
5. Now we have two simple equations:
1) 100%=533.5
2) x%=9.34
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%=533.5/9.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.34 is what percent of 533.5

100%/x%=533.5/9.34
(100/x)*x=(533.5/9.34)*x       - we multiply both sides of the equation by x
100=57.119914346895*x       - we divide both sides of the equation by (57.119914346895) to get x
100/57.119914346895=x
1.7507029053421=x
x=1.7507029053421

now we have:
9.34 is 1.7507029053421% of 533.5