What is 171.052 percent of 7.5 - 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 7.5 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 7.5 is 100%, so we can write it down as 7.5=100%.
4. We know, that x is 171.052% of the output value, so we can write it down as x=171.052%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=171.052%
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:
7.5/x=100%/171.052%
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 171.052% of 7.5

7.5/x=100/171.052
(7.5/x)*x=(100/171.052)*x       - we multiply both sides of the equation by x
7.5=0.58461754320324*x       - we divide both sides of the equation by (0.58461754320324) to get x
7.5/0.58461754320324=x
12.8289=x
x=12.8289

now we have:
171.052% of 7.5=12.8289