224.4 is what percent of 740 - 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 740 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 740, so we can write it down as 100%=740.
4. We know, that x% equals 224.4 of the output value, so we can write it down as x%=224.4.
5. Now we have two simple equations:
1) 100%=740
2) x%=224.4
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%=740/224.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.4 is what percent of 740

100%/x%=740/224.4
(100/x)*x=(740/224.4)*x       - we multiply both sides of the equation by x
100=3.2976827094474*x       - we divide both sides of the equation by (3.2976827094474) to get x
100/3.2976827094474=x
30.324324324324=x
x=30.324324324324

now we have:
224.4 is 30.324324324324% of 740