705.92 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 705.92 of the output value, so we can write it down as x%=705.92.
5. Now we have two simple equations:
1) 100%=1500
2) x%=705.92
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%=1500/705.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 705.92 is what percent of 1500

100%/x%=1500/705.92
(100/x)*x=(1500/705.92)*x       - we multiply both sides of the equation by x
100=2.1248866727108*x       - we divide both sides of the equation by (2.1248866727108) to get x
100/2.1248866727108=x
47.061333333333=x
x=47.061333333333

now we have:
705.92 is 47.061333333333% of 1500