168.96 is what percent of 202 - 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 202 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 202, so we can write it down as 100%=202.
4. We know, that x% equals 168.96 of the output value, so we can write it down as x%=168.96.
5. Now we have two simple equations:
1) 100%=202
2) x%=168.96
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%=202/168.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.96 is what percent of 202

100%/x%=202/168.96
(100/x)*x=(202/168.96)*x       - we multiply both sides of the equation by x
100=1.1955492424242*x       - we divide both sides of the equation by (1.1955492424242) to get x
100/1.1955492424242=x
83.643564356436=x
x=83.643564356436

now we have:
168.96 is 83.643564356436% of 202