What is 26 percent of 162.5 - 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 162.5 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 162.5 is 100%, so we can write it down as 162.5=100%.
4. We know, that x is 26% of the output value, so we can write it down as x=26%.
5. Now we have two simple equations:
1) 162.5=100%
2) x=26%
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:
162.5/x=100%/26%
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 26% of 162.5

162.5/x=100/26
(162.5/x)*x=(100/26)*x       - we multiply both sides of the equation by x
162.5=3.8461538461538*x       - we divide both sides of the equation by (3.8461538461538) to get x
162.5/3.8461538461538=x
42.25=x
x=42.25

now we have:
26% of 162.5=42.25