15.35 is what percent of 427.35 - 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 427.35 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 427.35, so we can write it down as 100%=427.35.
4. We know, that x% equals 15.35 of the output value, so we can write it down as x%=15.35.
5. Now we have two simple equations:
1) 100%=427.35
2) x%=15.35
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%=427.35/15.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.35 is what percent of 427.35

100%/x%=427.35/15.35
(100/x)*x=(427.35/15.35)*x       - we multiply both sides of the equation by x
100=27.840390879479*x       - we divide both sides of the equation by (27.840390879479) to get x
100/27.840390879479=x
3.5919035919036=x
x=3.5919035919036

now we have:
15.35 is 3.5919035919036% of 427.35