What is 59 percent of 506.25 - 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 506.25 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 506.25 is 100%, so we can write it down as 506.25=100%.
4. We know, that x is 59% of the output value, so we can write it down as x=59%.
5. Now we have two simple equations:
1) 506.25=100%
2) x=59%
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:
506.25/x=100%/59%
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 59% of 506.25

506.25/x=100/59
(506.25/x)*x=(100/59)*x       - we multiply both sides of the equation by x
506.25=1.6949152542373*x       - we divide both sides of the equation by (1.6949152542373) to get x
506.25/1.6949152542373=x
298.6875=x
x=298.6875

now we have:
59% of 506.25=298.6875