123.3 is what percent of 213.3 - 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 213.3 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 213.3, so we can write it down as 100%=213.3.
4. We know, that x% equals 123.3 of the output value, so we can write it down as x%=123.3.
5. Now we have two simple equations:
1) 100%=213.3
2) x%=123.3
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%=213.3/123.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.3 is what percent of 213.3

100%/x%=213.3/123.3
(100/x)*x=(213.3/123.3)*x       - we multiply both sides of the equation by x
100=1.7299270072993*x       - we divide both sides of the equation by (1.7299270072993) to get x
100/1.7299270072993=x
57.805907172996=x
x=57.805907172996

now we have:
123.3 is 57.805907172996% of 213.3