113.12 is what percent of 662.24 - 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 662.24 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 662.24, so we can write it down as 100%=662.24.
4. We know, that x% equals 113.12 of the output value, so we can write it down as x%=113.12.
5. Now we have two simple equations:
1) 100%=662.24
2) x%=113.12
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%=662.24/113.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.12 is what percent of 662.24

100%/x%=662.24/113.12
(100/x)*x=(662.24/113.12)*x       - we multiply both sides of the equation by x
100=5.8543140028289*x       - we divide both sides of the equation by (5.8543140028289) to get x
100/5.8543140028289=x
17.081420633003=x
x=17.081420633003

now we have:
113.12 is 17.081420633003% of 662.24