224.76 is what percent of 380.96 - 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 380.96 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 380.96, so we can write it down as 100%=380.96.
4. We know, that x% equals 224.76 of the output value, so we can write it down as x%=224.76.
5. Now we have two simple equations:
1) 100%=380.96
2) x%=224.76
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%=380.96/224.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.76 is what percent of 380.96

100%/x%=380.96/224.76
(100/x)*x=(380.96/224.76)*x       - we multiply both sides of the equation by x
100=1.69496351664*x       - we divide both sides of the equation by (1.69496351664) to get x
100/1.69496351664=x
58.998320033599=x
x=58.998320033599

now we have:
224.76 is 58.998320033599% of 380.96