192.48 is what percent of 329.98 - 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 329.98 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 329.98, so we can write it down as 100%=329.98.
4. We know, that x% equals 192.48 of the output value, so we can write it down as x%=192.48.
5. Now we have two simple equations:
1) 100%=329.98
2) x%=192.48
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%=329.98/192.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 192.48 is what percent of 329.98

100%/x%=329.98/192.48
(100/x)*x=(329.98/192.48)*x       - we multiply both sides of the equation by x
100=1.7143599334996*x       - we divide both sides of the equation by (1.7143599334996) to get x
100/1.7143599334996=x
58.330807927753=x
x=58.330807927753

now we have:
192.48 is 58.330807927753% of 329.98