What is 34.3 percent of 42.7 - 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 42.7 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 42.7 is 100%, so we can write it down as 42.7=100%.
4. We know, that x is 34.3% of the output value, so we can write it down as x=34.3%.
5. Now we have two simple equations:
1) 42.7=100%
2) x=34.3%
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:
42.7/x=100%/34.3%
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 34.3% of 42.7

42.7/x=100/34.3
(42.7/x)*x=(100/34.3)*x       - we multiply both sides of the equation by x
42.7=2.9154518950437*x       - we divide both sides of the equation by (2.9154518950437) to get x
42.7/2.9154518950437=x
14.6461=x
x=14.6461

now we have:
34.3% of 42.7=14.6461