What is 52.4 percent of 157.1 - 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 157.1 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 157.1 is 100%, so we can write it down as 157.1=100%.
4. We know, that x is 52.4% of the output value, so we can write it down as x=52.4%.
5. Now we have two simple equations:
1) 157.1=100%
2) x=52.4%
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:
157.1/x=100%/52.4%
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 52.4% of 157.1

157.1/x=100/52.4
(157.1/x)*x=(100/52.4)*x       - we multiply both sides of the equation by x
157.1=1.9083969465649*x       - we divide both sides of the equation by (1.9083969465649) to get x
157.1/1.9083969465649=x
82.3204=x
x=82.3204

now we have:
52.4% of 157.1=82.3204