What is 32.4 percent of 807.5 - 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 807.5 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 807.5 is 100%, so we can write it down as 807.5=100%.
4. We know, that x is 32.4% of the output value, so we can write it down as x=32.4%.
5. Now we have two simple equations:
1) 807.5=100%
2) x=32.4%
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:
807.5/x=100%/32.4%
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 32.4% of 807.5

807.5/x=100/32.4
(807.5/x)*x=(100/32.4)*x       - we multiply both sides of the equation by x
807.5=3.0864197530864*x       - we divide both sides of the equation by (3.0864197530864) to get x
807.5/3.0864197530864=x
261.63=x
x=261.63

now we have:
32.4% of 807.5=261.63