176.04 is what percent of 1203.2 - 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 1203.2 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 1203.2, so we can write it down as 100%=1203.2.
4. We know, that x% equals 176.04 of the output value, so we can write it down as x%=176.04.
5. Now we have two simple equations:
1) 100%=1203.2
2) x%=176.04
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%=1203.2/176.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.04 is what percent of 1203.2

100%/x%=1203.2/176.04
(100/x)*x=(1203.2/176.04)*x       - we multiply both sides of the equation by x
100=6.8348102703931*x       - we divide both sides of the equation by (6.8348102703931) to get x
100/6.8348102703931=x
14.630984042553=x
x=14.630984042553

now we have:
176.04 is 14.630984042553% of 1203.2