999.46 is what percent of 1400 - 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 1400 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 1400, so we can write it down as 100%=1400.
4. We know, that x% equals 999.46 of the output value, so we can write it down as x%=999.46.
5. Now we have two simple equations:
1) 100%=1400
2) x%=999.46
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%=1400/999.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 999.46 is what percent of 1400

100%/x%=1400/999.46
(100/x)*x=(1400/999.46)*x       - we multiply both sides of the equation by x
100=1.4007564084606*x       - we divide both sides of the equation by (1.4007564084606) to get x
100/1.4007564084606=x
71.39=x
x=71.39

now we have:
999.46 is 71.39% of 1400