177.66 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 177.66 of the output value, so we can write it down as x%=177.66.
5. Now we have two simple equations:
1) 100%=202
2) x%=177.66
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%=202/177.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.66 is what percent of 202

100%/x%=202/177.66
(100/x)*x=(202/177.66)*x       - we multiply both sides of the equation by x
100=1.1370032646628*x       - we divide both sides of the equation by (1.1370032646628) to get x
100/1.1370032646628=x
87.950495049505=x
x=87.950495049505

now we have:
177.66 is 87.950495049505% of 202