224.09 is what percent of 318.18 - 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 318.18 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 318.18, so we can write it down as 100%=318.18.
4. We know, that x% equals 224.09 of the output value, so we can write it down as x%=224.09.
5. Now we have two simple equations:
1) 100%=318.18
2) x%=224.09
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%=318.18/224.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.09 is what percent of 318.18

100%/x%=318.18/224.09
(100/x)*x=(318.18/224.09)*x       - we multiply both sides of the equation by x
100=1.4198759427016*x       - we divide both sides of the equation by (1.4198759427016) to get x
100/1.4198759427016=x
70.428688163932=x
x=70.428688163932

now we have:
224.09 is 70.428688163932% of 318.18