1.01 is what percent of 15.33 - 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 15.33 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 15.33, so we can write it down as 100%=15.33.
4. We know, that x% equals 1.01 of the output value, so we can write it down as x%=1.01.
5. Now we have two simple equations:
1) 100%=15.33
2) x%=1.01
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%=15.33/1.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.01 is what percent of 15.33

100%/x%=15.33/1.01
(100/x)*x=(15.33/1.01)*x       - we multiply both sides of the equation by x
100=15.178217821782*x       - we divide both sides of the equation by (15.178217821782) to get x
100/15.178217821782=x
6.5883887801696=x
x=6.5883887801696

now we have:
1.01 is 6.5883887801696% of 15.33