1150.72 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 1150.72 of the output value, so we can write it down as x%=1150.72.
5. Now we have two simple equations:
1) 100%=1500
2) x%=1150.72
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%=1500/1150.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1150.72 is what percent of 1500

100%/x%=1500/1150.72
(100/x)*x=(1500/1150.72)*x       - we multiply both sides of the equation by x
100=1.303531701891*x       - we divide both sides of the equation by (1.303531701891) to get x
100/1.303531701891=x
76.714666666667=x
x=76.714666666667

now we have:
1150.72 is 76.714666666667% of 1500