3.62 is what percent of 401.63 - 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 401.63 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 401.63, so we can write it down as 100%=401.63.
4. We know, that x% equals 3.62 of the output value, so we can write it down as x%=3.62.
5. Now we have two simple equations:
1) 100%=401.63
2) x%=3.62
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%=401.63/3.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.62 is what percent of 401.63

100%/x%=401.63/3.62
(100/x)*x=(401.63/3.62)*x       - we multiply both sides of the equation by x
100=110.94751381215*x       - we divide both sides of the equation by (110.94751381215) to get x
100/110.94751381215=x
0.90132709209969=x
x=0.90132709209969

now we have:
3.62 is 0.90132709209969% of 401.63