179.5 is what percent of 212.5 - 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 212.5 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 212.5, so we can write it down as 100%=212.5.
4. We know, that x% equals 179.5 of the output value, so we can write it down as x%=179.5.
5. Now we have two simple equations:
1) 100%=212.5
2) x%=179.5
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%=212.5/179.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.5 is what percent of 212.5

100%/x%=212.5/179.5
(100/x)*x=(212.5/179.5)*x       - we multiply both sides of the equation by x
100=1.1838440111421*x       - we divide both sides of the equation by (1.1838440111421) to get x
100/1.1838440111421=x
84.470588235294=x
x=84.470588235294

now we have:
179.5 is 84.470588235294% of 212.5