5.43 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 5.43 of the output value, so we can write it down as x%=5.43.
5. Now we have two simple equations:
1) 100%=400
2) x%=5.43
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%=400/5.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.43 is what percent of 400

100%/x%=400/5.43
(100/x)*x=(400/5.43)*x       - we multiply both sides of the equation by x
100=73.664825046041*x       - we divide both sides of the equation by (73.664825046041) to get x
100/73.664825046041=x
1.3575=x
x=1.3575

now we have:
5.43 is 1.3575% of 400