649.07 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 649.07 of the output value, so we can write it down as x%=649.07.
5. Now we have two simple equations:
1) 100%=1000
2) x%=649.07
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%=1000/649.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 649.07 is what percent of 1000

100%/x%=1000/649.07
(100/x)*x=(1000/649.07)*x       - we multiply both sides of the equation by x
100=1.5406658757915*x       - we divide both sides of the equation by (1.5406658757915) to get x
100/1.5406658757915=x
64.907=x
x=64.907

now we have:
649.07 is 64.907% of 1000