150.75 is what percent of 1872.55 - 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 1872.55 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 1872.55, so we can write it down as 100%=1872.55.
4. We know, that x% equals 150.75 of the output value, so we can write it down as x%=150.75.
5. Now we have two simple equations:
1) 100%=1872.55
2) x%=150.75
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%=1872.55/150.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.75 is what percent of 1872.55

100%/x%=1872.55/150.75
(100/x)*x=(1872.55/150.75)*x       - we multiply both sides of the equation by x
100=12.421558872305*x       - we divide both sides of the equation by (12.421558872305) to get x
100/12.421558872305=x
8.0505193452778=x
x=8.0505193452778

now we have:
150.75 is 8.0505193452778% of 1872.55