191.96 is what percent of 330.72 - 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 330.72 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 330.72, so we can write it down as 100%=330.72.
4. We know, that x% equals 191.96 of the output value, so we can write it down as x%=191.96.
5. Now we have two simple equations:
1) 100%=330.72
2) x%=191.96
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%=330.72/191.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 191.96 is what percent of 330.72

100%/x%=330.72/191.96
(100/x)*x=(330.72/191.96)*x       - we multiply both sides of the equation by x
100=1.7228589289435*x       - we divide both sides of the equation by (1.7228589289435) to get x
100/1.7228589289435=x
58.043057571359=x
x=58.043057571359

now we have:
191.96 is 58.043057571359% of 330.72