113.7 is what percent of 427.7 - 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 427.7 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 427.7, so we can write it down as 100%=427.7.
4. We know, that x% equals 113.7 of the output value, so we can write it down as x%=113.7.
5. Now we have two simple equations:
1) 100%=427.7
2) x%=113.7
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%=427.7/113.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.7 is what percent of 427.7

100%/x%=427.7/113.7
(100/x)*x=(427.7/113.7)*x       - we multiply both sides of the equation by x
100=3.7616534740545*x       - we divide both sides of the equation by (3.7616534740545) to get x
100/3.7616534740545=x
26.584054243629=x
x=26.584054243629

now we have:
113.7 is 26.584054243629% of 427.7