What is 32.6 percent of 3.4 - 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 3.4 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 3.4 is 100%, so we can write it down as 3.4=100%.
4. We know, that x is 32.6% of the output value, so we can write it down as x=32.6%.
5. Now we have two simple equations:
1) 3.4=100%
2) x=32.6%
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:
3.4/x=100%/32.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 32.6% of 3.4

3.4/x=100/32.6
(3.4/x)*x=(100/32.6)*x       - we multiply both sides of the equation by x
3.4=3.0674846625767*x       - we divide both sides of the equation by (3.0674846625767) to get x
3.4/3.0674846625767=x
1.1084=x
x=1.1084

now we have:
32.6% of 3.4=1.1084