What is 94.52 percent of 157.5 - 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 157.5 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 157.5 is 100%, so we can write it down as 157.5=100%.
4. We know, that x is 94.52% of the output value, so we can write it down as x=94.52%.
5. Now we have two simple equations:
1) 157.5=100%
2) x=94.52%
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:
157.5/x=100%/94.52%
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 94.52% of 157.5

157.5/x=100/94.52
(157.5/x)*x=(100/94.52)*x       - we multiply both sides of the equation by x
157.5=1.0579771476936*x       - we divide both sides of the equation by (1.0579771476936) to get x
157.5/1.0579771476936=x
148.869=x
x=148.869

now we have:
94.52% of 157.5=148.869