What is 35.7 percent of 462.5 - 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 462.5 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 462.5 is 100%, so we can write it down as 462.5=100%.
4. We know, that x is 35.7% of the output value, so we can write it down as x=35.7%.
5. Now we have two simple equations:
1) 462.5=100%
2) x=35.7%
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:
462.5/x=100%/35.7%
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 35.7% of 462.5

462.5/x=100/35.7
(462.5/x)*x=(100/35.7)*x       - we multiply both sides of the equation by x
462.5=2.8011204481793*x       - we divide both sides of the equation by (2.8011204481793) to get x
462.5/2.8011204481793=x
165.1125=x
x=165.1125

now we have:
35.7% of 462.5=165.1125