71.1 is what percent of 176 - 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 176 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 176, so we can write it down as 100%=176.
4. We know, that x% equals 71.1 of the output value, so we can write it down as x%=71.1.
5. Now we have two simple equations:
1) 100%=176
2) x%=71.1
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%=176/71.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.1 is what percent of 176

100%/x%=176/71.1
(100/x)*x=(176/71.1)*x       - we multiply both sides of the equation by x
100=2.4753867791842*x       - we divide both sides of the equation by (2.4753867791842) to get x
100/2.4753867791842=x
40.397727272727=x
x=40.397727272727

now we have:
71.1 is 40.397727272727% of 176