What is 37.5 percent of 509.3 - 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 509.3 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 509.3 is 100%, so we can write it down as 509.3=100%.
4. We know, that x is 37.5% of the output value, so we can write it down as x=37.5%.
5. Now we have two simple equations:
1) 509.3=100%
2) x=37.5%
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:
509.3/x=100%/37.5%
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 37.5% of 509.3

509.3/x=100/37.5
(509.3/x)*x=(100/37.5)*x       - we multiply both sides of the equation by x
509.3=2.6666666666667*x       - we divide both sides of the equation by (2.6666666666667) to get x
509.3/2.6666666666667=x
190.9875=x
x=190.9875

now we have:
37.5% of 509.3=190.9875