176.84 is what percent of 187.95 - 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 187.95 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 187.95, so we can write it down as 100%=187.95.
4. We know, that x% equals 176.84 of the output value, so we can write it down as x%=176.84.
5. Now we have two simple equations:
1) 100%=187.95
2) x%=176.84
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%=187.95/176.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.84 is what percent of 187.95

100%/x%=187.95/176.84
(100/x)*x=(187.95/176.84)*x       - we multiply both sides of the equation by x
100=1.0628251526804*x       - we divide both sides of the equation by (1.0628251526804) to get x
100/1.0628251526804=x
94.088853418462=x
x=94.088853418462

now we have:
176.84 is 94.088853418462% of 187.95