9.52 is what percent of 6.52 - 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 6.52 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 6.52, so we can write it down as 100%=6.52.
4. We know, that x% equals 9.52 of the output value, so we can write it down as x%=9.52.
5. Now we have two simple equations:
1) 100%=6.52
2) x%=9.52
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%=6.52/9.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.52 is what percent of 6.52

100%/x%=6.52/9.52
(100/x)*x=(6.52/9.52)*x       - we multiply both sides of the equation by x
100=0.68487394957983*x       - we divide both sides of the equation by (0.68487394957983) to get x
100/0.68487394957983=x
146.01226993865=x
x=146.01226993865

now we have:
9.52 is 146.01226993865% of 6.52