224.22 is what percent of 246.42 - 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 246.42 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 246.42, so we can write it down as 100%=246.42.
4. We know, that x% equals 224.22 of the output value, so we can write it down as x%=224.22.
5. Now we have two simple equations:
1) 100%=246.42
2) x%=224.22
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%=246.42/224.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.22 is what percent of 246.42

100%/x%=246.42/224.22
(100/x)*x=(246.42/224.22)*x       - we multiply both sides of the equation by x
100=1.0990099009901*x       - we divide both sides of the equation by (1.0990099009901) to get x
100/1.0990099009901=x
90.990990990991=x
x=90.990990990991

now we have:
224.22 is 90.990990990991% of 246.42