16.8 is what percent of 167.5 - 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 167.5 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 167.5, so we can write it down as 100%=167.5.
4. We know, that x% equals 16.8 of the output value, so we can write it down as x%=16.8.
5. Now we have two simple equations:
1) 100%=167.5
2) x%=16.8
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%=167.5/16.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.8 is what percent of 167.5

100%/x%=167.5/16.8
(100/x)*x=(167.5/16.8)*x       - we multiply both sides of the equation by x
100=9.9702380952381*x       - we divide both sides of the equation by (9.9702380952381) to get x
100/9.9702380952381=x
10.029850746269=x
x=10.029850746269

now we have:
16.8 is 10.029850746269% of 167.5