What is 31.62 percent of 23.25 - 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 23.25 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 23.25 is 100%, so we can write it down as 23.25=100%.
4. We know, that x is 31.62% of the output value, so we can write it down as x=31.62%.
5. Now we have two simple equations:
1) 23.25=100%
2) x=31.62%
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:
23.25/x=100%/31.62%
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 31.62% of 23.25

23.25/x=100/31.62
(23.25/x)*x=(100/31.62)*x       - we multiply both sides of the equation by x
23.25=3.1625553447185*x       - we divide both sides of the equation by (3.1625553447185) to get x
23.25/3.1625553447185=x
7.35165=x
x=7.35165

now we have:
31.62% of 23.25=7.35165