1.15 is what percent of 32.64 - 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 32.64 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 32.64, so we can write it down as 100%=32.64.
4. We know, that x% equals 1.15 of the output value, so we can write it down as x%=1.15.
5. Now we have two simple equations:
1) 100%=32.64
2) x%=1.15
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%=32.64/1.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.15 is what percent of 32.64

100%/x%=32.64/1.15
(100/x)*x=(32.64/1.15)*x       - we multiply both sides of the equation by x
100=28.382608695652*x       - we divide both sides of the equation by (28.382608695652) to get x
100/28.382608695652=x
3.5232843137255=x
x=3.5232843137255

now we have:
1.15 is 3.5232843137255% of 32.64