22.6 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 22.6 of the output value, so we can write it down as x%=22.6.
5. Now we have two simple equations:
1) 100%=400
2) x%=22.6
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%=400/22.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.6 is what percent of 400

100%/x%=400/22.6
(100/x)*x=(400/22.6)*x       - we multiply both sides of the equation by x
100=17.699115044248*x       - we divide both sides of the equation by (17.699115044248) to get x
100/17.699115044248=x
5.65=x
x=5.65

now we have:
22.6 is 5.65% of 400