7105.5 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 7105.5 of the output value, so we can write it down as x%=7105.5.
5. Now we have two simple equations:
1) 100%=1000
2) x%=7105.5
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%=1000/7105.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7105.5 is what percent of 1000

100%/x%=1000/7105.5
(100/x)*x=(1000/7105.5)*x       - we multiply both sides of the equation by x
100=0.14073604953909*x       - we divide both sides of the equation by (0.14073604953909) to get x
100/0.14073604953909=x
710.55=x
x=710.55

now we have:
7105.5 is 710.55% of 1000