89.13 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 89.13 of the output value, so we can write it down as x%=89.13.
5. Now we have two simple equations:
1) 100%=1500
2) x%=89.13
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%=1500/89.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.13 is what percent of 1500

100%/x%=1500/89.13
(100/x)*x=(1500/89.13)*x       - we multiply both sides of the equation by x
100=16.829350387075*x       - we divide both sides of the equation by (16.829350387075) to get x
100/16.829350387075=x
5.942=x
x=5.942

now we have:
89.13 is 5.942% of 1500