What is 5.25 percent of 126.5 - 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 126.5 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 126.5 is 100%, so we can write it down as 126.5=100%.
4. We know, that x is 5.25% of the output value, so we can write it down as x=5.25%.
5. Now we have two simple equations:
1) 126.5=100%
2) x=5.25%
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:
126.5/x=100%/5.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.25% of 126.5

126.5/x=100/5.25
(126.5/x)*x=(100/5.25)*x       - we multiply both sides of the equation by x
126.5=19.047619047619*x       - we divide both sides of the equation by (19.047619047619) to get x
126.5/19.047619047619=x
6.64125=x
x=6.64125

now we have:
5.25% of 126.5=6.64125