27 is what percent of 623 - 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 623 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 623, so we can write it down as 100%=623.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=623
2) x%=27
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%=623/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 623

100%/x%=623/27
(100/x)*x=(623/27)*x       - we multiply both sides of the equation by x
100=23.074074074074*x       - we divide both sides of the equation by (23.074074074074) to get x
100/23.074074074074=x
4.3338683788122=x
x=4.3338683788122

now we have:
27 is 4.3338683788122% of 623