10.9 is what percent of 3.2 - 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 3.2 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 3.2, so we can write it down as 100%=3.2.
4. We know, that x% equals 10.9 of the output value, so we can write it down as x%=10.9.
5. Now we have two simple equations:
1) 100%=3.2
2) x%=10.9
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%=3.2/10.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.9 is what percent of 3.2

100%/x%=3.2/10.9
(100/x)*x=(3.2/10.9)*x       - we multiply both sides of the equation by x
100=0.29357798165138*x       - we divide both sides of the equation by (0.29357798165138) to get x
100/0.29357798165138=x
340.625=x
x=340.625

now we have:
10.9 is 340.625% of 3.2