159.93 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 159.93 of the output value, so we can write it down as x%=159.93.
5. Now we have two simple equations:
1) 100%=400
2) x%=159.93
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%=400/159.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.93 is what percent of 400

100%/x%=400/159.93
(100/x)*x=(400/159.93)*x       - we multiply both sides of the equation by x
100=2.5010942287251*x       - we divide both sides of the equation by (2.5010942287251) to get x
100/2.5010942287251=x
39.9825=x
x=39.9825

now we have:
159.93 is 39.9825% of 400