224.73 is what percent of 1138.81 - 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 1138.81 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 1138.81, so we can write it down as 100%=1138.81.
4. We know, that x% equals 224.73 of the output value, so we can write it down as x%=224.73.
5. Now we have two simple equations:
1) 100%=1138.81
2) x%=224.73
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%=1138.81/224.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.73 is what percent of 1138.81

100%/x%=1138.81/224.73
(100/x)*x=(1138.81/224.73)*x       - we multiply both sides of the equation by x
100=5.0674587282517*x       - we divide both sides of the equation by (5.0674587282517) to get x
100/5.0674587282517=x
19.73375716757=x
x=19.73375716757

now we have:
224.73 is 19.73375716757% of 1138.81