What is 36.57 percent of 34.3 - 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 34.3 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 34.3 is 100%, so we can write it down as 34.3=100%.
4. We know, that x is 36.57% of the output value, so we can write it down as x=36.57%.
5. Now we have two simple equations:
1) 34.3=100%
2) x=36.57%
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:
34.3/x=100%/36.57%
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 36.57% of 34.3

34.3/x=100/36.57
(34.3/x)*x=(100/36.57)*x       - we multiply both sides of the equation by x
34.3=2.7344818156959*x       - we divide both sides of the equation by (2.7344818156959) to get x
34.3/2.7344818156959=x
12.54351=x
x=12.54351

now we have:
36.57% of 34.3=12.54351