179.24 is what percent of 189.8 - 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 189.8 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 189.8, so we can write it down as 100%=189.8.
4. We know, that x% equals 179.24 of the output value, so we can write it down as x%=179.24.
5. Now we have two simple equations:
1) 100%=189.8
2) x%=179.24
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%=189.8/179.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.24 is what percent of 189.8

100%/x%=189.8/179.24
(100/x)*x=(189.8/179.24)*x       - we multiply both sides of the equation by x
100=1.058915420665*x       - we divide both sides of the equation by (1.058915420665) to get x
100/1.058915420665=x
94.436248682824=x
x=94.436248682824

now we have:
179.24 is 94.436248682824% of 189.8