What is 39.7 percent of 437.42 - 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 437.42 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 437.42 is 100%, so we can write it down as 437.42=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) 437.42=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:
437.42/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 437.42

437.42/x=100/39.7
(437.42/x)*x=(100/39.7)*x       - we multiply both sides of the equation by x
437.42=2.5188916876574*x       - we divide both sides of the equation by (2.5188916876574) to get x
437.42/2.5188916876574=x
173.65574=x
x=173.65574

now we have:
39.7% of 437.42=173.65574