1.16 is what percent of 23.42 - 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 23.42 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 23.42, so we can write it down as 100%=23.42.
4. We know, that x% equals 1.16 of the output value, so we can write it down as x%=1.16.
5. Now we have two simple equations:
1) 100%=23.42
2) x%=1.16
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%=23.42/1.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.16 is what percent of 23.42

100%/x%=23.42/1.16
(100/x)*x=(23.42/1.16)*x       - we multiply both sides of the equation by x
100=20.189655172414*x       - we divide both sides of the equation by (20.189655172414) to get x
100/20.189655172414=x
4.9530315969257=x
x=4.9530315969257

now we have:
1.16 is 4.9530315969257% of 23.42