52.9 is what percent of 161.4 - 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 161.4 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 161.4, so we can write it down as 100%=161.4.
4. We know, that x% equals 52.9 of the output value, so we can write it down as x%=52.9.
5. Now we have two simple equations:
1) 100%=161.4
2) x%=52.9
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%=161.4/52.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.9 is what percent of 161.4

100%/x%=161.4/52.9
(100/x)*x=(161.4/52.9)*x       - we multiply both sides of the equation by x
100=3.0510396975425*x       - we divide both sides of the equation by (3.0510396975425) to get x
100/3.0510396975425=x
32.775712515489=x
x=32.775712515489

now we have:
52.9 is 32.775712515489% of 161.4