102.83 is what percent of 147.52 - 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 147.52 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 100% equals 147.52, so we can write it down as 100%=147.52.
4. We know, that x% equals 102.83 of the output value, so we can write it down as x%=102.83.
5. Now we have two simple equations:
1) 100%=147.52
2) x%=102.83
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:
100%/x%=147.52/102.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.83 is what percent of 147.52

100%/x%=147.52/102.83
(100/x)*x=(147.52/102.83)*x       - we multiply both sides of the equation by x
100=1.4346007974327*x       - we divide both sides of the equation by (1.4346007974327) to get x
100/1.4346007974327=x
69.705802603037=x
x=69.705802603037

now we have:
102.83 is 69.705802603037% of 147.52