34 is what percent of 662.3 - 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 662.3 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 662.3, so we can write it down as 100%=662.3.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=662.3
2) x%=34
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%=662.3/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 662.3

100%/x%=662.3/34
(100/x)*x=(662.3/34)*x       - we multiply both sides of the equation by x
100=19.479411764706*x       - we divide both sides of the equation by (19.479411764706) to get x
100/19.479411764706=x
5.1336252453571=x
x=5.1336252453571

now we have:
34 is 5.1336252453571% of 662.3