23.93 is what percent of 200.62 - 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 200.62 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 200.62, so we can write it down as 100%=200.62.
4. We know, that x% equals 23.93 of the output value, so we can write it down as x%=23.93.
5. Now we have two simple equations:
1) 100%=200.62
2) x%=23.93
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%=200.62/23.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.93 is what percent of 200.62

100%/x%=200.62/23.93
(100/x)*x=(200.62/23.93)*x       - we multiply both sides of the equation by x
100=8.3836188884246*x       - we divide both sides of the equation by (8.3836188884246) to get x
100/8.3836188884246=x
11.928023128302=x
x=11.928023128302

now we have:
23.93 is 11.928023128302% of 200.62