1091.43 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 1091.43 of the output value, so we can write it down as x%=1091.43.
5. Now we have two simple equations:
1) 100%=1500
2) x%=1091.43
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%=1500/1091.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1091.43 is what percent of 1500

100%/x%=1500/1091.43
(100/x)*x=(1500/1091.43)*x       - we multiply both sides of the equation by x
100=1.374343750859*x       - we divide both sides of the equation by (1.374343750859) to get x
100/1.374343750859=x
72.762=x
x=72.762

now we have:
1091.43 is 72.762% of 1500