252.42 is what percent of 944.23 - 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 944.23 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 944.23, so we can write it down as 100%=944.23.
4. We know, that x% equals 252.42 of the output value, so we can write it down as x%=252.42.
5. Now we have two simple equations:
1) 100%=944.23
2) x%=252.42
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%=944.23/252.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.42 is what percent of 944.23

100%/x%=944.23/252.42
(100/x)*x=(944.23/252.42)*x       - we multiply both sides of the equation by x
100=3.7407099278979*x       - we divide both sides of the equation by (3.7407099278979) to get x
100/3.7407099278979=x
26.732893468752=x
x=26.732893468752

now we have:
252.42 is 26.732893468752% of 944.23