15.55 is what percent of 421.92 - 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 421.92 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 421.92, so we can write it down as 100%=421.92.
4. We know, that x% equals 15.55 of the output value, so we can write it down as x%=15.55.
5. Now we have two simple equations:
1) 100%=421.92
2) x%=15.55
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%=421.92/15.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.55 is what percent of 421.92

100%/x%=421.92/15.55
(100/x)*x=(421.92/15.55)*x       - we multiply both sides of the equation by x
100=27.133118971061*x       - we divide both sides of the equation by (27.133118971061) to get x
100/27.133118971061=x
3.685532802427=x
x=3.685532802427

now we have:
15.55 is 3.685532802427% of 421.92