1333.33 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 1333.33 of the output value, so we can write it down as x%=1333.33.
5. Now we have two simple equations:
1) 100%=1500
2) x%=1333.33
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%=1500/1333.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1333.33 is what percent of 1500

100%/x%=1500/1333.33
(100/x)*x=(1500/1333.33)*x       - we multiply both sides of the equation by x
100=1.125002812507*x       - we divide both sides of the equation by (1.125002812507) to get x
100/1.125002812507=x
88.888666666667=x
x=88.888666666667

now we have:
1333.33 is 88.888666666667% of 1500