105.4 is what percent of 124.7 - 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 124.7 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 124.7, so we can write it down as 100%=124.7.
4. We know, that x% equals 105.4 of the output value, so we can write it down as x%=105.4.
5. Now we have two simple equations:
1) 100%=124.7
2) x%=105.4
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%=124.7/105.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.4 is what percent of 124.7

100%/x%=124.7/105.4
(100/x)*x=(124.7/105.4)*x       - we multiply both sides of the equation by x
100=1.1831119544592*x       - we divide both sides of the equation by (1.1831119544592) to get x
100/1.1831119544592=x
84.522854851644=x
x=84.522854851644

now we have:
105.4 is 84.522854851644% of 124.7