656.7 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 656.7 of the output value, so we can write it down as x%=656.7.
5. Now we have two simple equations:
1) 100%=1500
2) x%=656.7
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%=1500/656.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 656.7 is what percent of 1500

100%/x%=1500/656.7
(100/x)*x=(1500/656.7)*x       - we multiply both sides of the equation by x
100=2.2841480127912*x       - we divide both sides of the equation by (2.2841480127912) to get x
100/2.2841480127912=x
43.78=x
x=43.78

now we have:
656.7 is 43.78% of 1500