15.67 is what percent of 179.19 - 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 179.19 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 179.19, so we can write it down as 100%=179.19.
4. We know, that x% equals 15.67 of the output value, so we can write it down as x%=15.67.
5. Now we have two simple equations:
1) 100%=179.19
2) x%=15.67
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%=179.19/15.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.67 is what percent of 179.19

100%/x%=179.19/15.67
(100/x)*x=(179.19/15.67)*x       - we multiply both sides of the equation by x
100=11.435226547543*x       - we divide both sides of the equation by (11.435226547543) to get x
100/11.435226547543=x
8.7449076399353=x
x=8.7449076399353

now we have:
15.67 is 8.7449076399353% of 179.19