34.53 is what percent of 175.8 - 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 175.8 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 175.8, so we can write it down as 100%=175.8.
4. We know, that x% equals 34.53 of the output value, so we can write it down as x%=34.53.
5. Now we have two simple equations:
1) 100%=175.8
2) x%=34.53
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%=175.8/34.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.53 is what percent of 175.8

100%/x%=175.8/34.53
(100/x)*x=(175.8/34.53)*x       - we multiply both sides of the equation by x
100=5.0912250217202*x       - we divide both sides of the equation by (5.0912250217202) to get x
100/5.0912250217202=x
19.641638225256=x
x=19.641638225256

now we have:
34.53 is 19.641638225256% of 175.8