What is 35 percent of 508.2 - 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 508.2 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 508.2 is 100%, so we can write it down as 508.2=100%.
4. We know, that x is 35% of the output value, so we can write it down as x=35%.
5. Now we have two simple equations:
1) 508.2=100%
2) x=35%
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:
508.2/x=100%/35%
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% of 508.2

508.2/x=100/35
(508.2/x)*x=(100/35)*x       - we multiply both sides of the equation by x
508.2=2.85714285714*x       - we divide both sides of the equation by (2.85714285714) to get x
508.2/2.85714285714=x
177.87=x
x=177.87

now we have:
35% of 508.2=177.87