173.2 is what percent of 1056.45 - 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 1056.45 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 1056.45, so we can write it down as 100%=1056.45.
4. We know, that x% equals 173.2 of the output value, so we can write it down as x%=173.2.
5. Now we have two simple equations:
1) 100%=1056.45
2) x%=173.2
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%=1056.45/173.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 173.2 is what percent of 1056.45

100%/x%=1056.45/173.2
(100/x)*x=(1056.45/173.2)*x       - we multiply both sides of the equation by x
100=6.0995958429561*x       - we divide both sides of the equation by (6.0995958429561) to get x
100/6.0995958429561=x
16.394528846609=x
x=16.394528846609

now we have:
173.2 is 16.394528846609% of 1056.45