234.56 is what percent of 629.69 - 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 629.69 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 629.69, so we can write it down as 100%=629.69.
4. We know, that x% equals 234.56 of the output value, so we can write it down as x%=234.56.
5. Now we have two simple equations:
1) 100%=629.69
2) x%=234.56
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%=629.69/234.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 234.56 is what percent of 629.69

100%/x%=629.69/234.56
(100/x)*x=(629.69/234.56)*x       - we multiply both sides of the equation by x
100=2.6845583219645*x       - we divide both sides of the equation by (2.6845583219645) to get x
100/2.6845583219645=x
37.250075433944=x
x=37.250075433944

now we have:
234.56 is 37.250075433944% of 629.69