What is 25.57 percent of 429.5 - 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 429.5 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 429.5 is 100%, so we can write it down as 429.5=100%.
4. We know, that x is 25.57% of the output value, so we can write it down as x=25.57%.
5. Now we have two simple equations:
1) 429.5=100%
2) x=25.57%
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:
429.5/x=100%/25.57%
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 25.57% of 429.5

429.5/x=100/25.57
(429.5/x)*x=(100/25.57)*x       - we multiply both sides of the equation by x
429.5=3.9108330074306*x       - we divide both sides of the equation by (3.9108330074306) to get x
429.5/3.9108330074306=x
109.82315=x
x=109.82315

now we have:
25.57% of 429.5=109.82315