23.3 is what percent of 221.8 - 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 221.8 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 221.8, so we can write it down as 100%=221.8.
4. We know, that x% equals 23.3 of the output value, so we can write it down as x%=23.3.
5. Now we have two simple equations:
1) 100%=221.8
2) x%=23.3
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%=221.8/23.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.3 is what percent of 221.8

100%/x%=221.8/23.3
(100/x)*x=(221.8/23.3)*x       - we multiply both sides of the equation by x
100=9.519313304721*x       - we divide both sides of the equation by (9.519313304721) to get x
100/9.519313304721=x
10.504959422904=x
x=10.504959422904

now we have:
23.3 is 10.504959422904% of 221.8