What is 35.8 percent of 53 - 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 53 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 53 is 100%, so we can write it down as 53=100%.
4. We know, that x is 35.8% of the output value, so we can write it down as x=35.8%.
5. Now we have two simple equations:
1) 53=100%
2) x=35.8%
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:
53/x=100%/35.8%
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 35.8% of 53

53/x=100/35.8
(53/x)*x=(100/35.8)*x       - we multiply both sides of the equation by x
53=2.7932960893855*x       - we divide both sides of the equation by (2.7932960893855) to get x
53/2.7932960893855=x
18.974=x
x=18.974

now we have:
35.8% of 53=18.974