142.47 is what percent of 223.97 - 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 223.97 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 223.97, so we can write it down as 100%=223.97.
4. We know, that x% equals 142.47 of the output value, so we can write it down as x%=142.47.
5. Now we have two simple equations:
1) 100%=223.97
2) x%=142.47
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%=223.97/142.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.47 is what percent of 223.97

100%/x%=223.97/142.47
(100/x)*x=(223.97/142.47)*x       - we multiply both sides of the equation by x
100=1.5720502561943*x       - we divide both sides of the equation by (1.5720502561943) to get x
100/1.5720502561943=x
63.611197928294=x
x=63.611197928294

now we have:
142.47 is 63.611197928294% of 223.97