300.24 is what percent of 173.75 - 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 173.75 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 173.75, so we can write it down as 100%=173.75.
4. We know, that x% equals 300.24 of the output value, so we can write it down as x%=300.24.
5. Now we have two simple equations:
1) 100%=173.75
2) x%=300.24
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%=173.75/300.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.24 is what percent of 173.75

100%/x%=173.75/300.24
(100/x)*x=(173.75/300.24)*x       - we multiply both sides of the equation by x
100=0.5787037037037*x       - we divide both sides of the equation by (0.5787037037037) to get x
100/0.5787037037037=x
172.8=x
x=172.8

now we have:
300.24 is 172.8% of 173.75