168.16 is what percent of 748.39 - 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 748.39 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 748.39, so we can write it down as 100%=748.39.
4. We know, that x% equals 168.16 of the output value, so we can write it down as x%=168.16.
5. Now we have two simple equations:
1) 100%=748.39
2) x%=168.16
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%=748.39/168.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.16 is what percent of 748.39

100%/x%=748.39/168.16
(100/x)*x=(748.39/168.16)*x       - we multiply both sides of the equation by x
100=4.4504638439581*x       - we divide both sides of the equation by (4.4504638439581) to get x
100/4.4504638439581=x
22.469568005986=x
x=22.469568005986

now we have:
168.16 is 22.469568005986% of 748.39