175.7 is what percent of 205.05 - 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 205.05 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 205.05, so we can write it down as 100%=205.05.
4. We know, that x% equals 175.7 of the output value, so we can write it down as x%=175.7.
5. Now we have two simple equations:
1) 100%=205.05
2) x%=175.7
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%=205.05/175.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.7 is what percent of 205.05

100%/x%=205.05/175.7
(100/x)*x=(205.05/175.7)*x       - we multiply both sides of the equation by x
100=1.167046101309*x       - we divide both sides of the equation by (1.167046101309) to get x
100/1.167046101309=x
85.686417946842=x
x=85.686417946842

now we have:
175.7 is 85.686417946842% of 205.05