What is 39.7 percent of 34.45 - 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 34.45 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 34.45 is 100%, so we can write it down as 34.45=100%.
4. We know, that x is 39.7% of the output value, so we can write it down as x=39.7%.
5. Now we have two simple equations:
1) 34.45=100%
2) x=39.7%
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:
34.45/x=100%/39.7%
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 39.7% of 34.45

34.45/x=100/39.7
(34.45/x)*x=(100/39.7)*x       - we multiply both sides of the equation by x
34.45=2.5188916876574*x       - we divide both sides of the equation by (2.5188916876574) to get x
34.45/2.5188916876574=x
13.67665=x
x=13.67665

now we have:
39.7% of 34.45=13.67665