What is 40.625 percent of 75225 - 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 75225 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 75225 is 100%, so we can write it down as 75225=100%.
4. We know, that x is 40.625% of the output value, so we can write it down as x=40.625%.
5. Now we have two simple equations:
1) 75225=100%
2) x=40.625%
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:
75225/x=100%/40.625%
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 40.625% of 75225

75225/x=100/40.625
(75225/x)*x=(100/40.625)*x       - we multiply both sides of the equation by x
75225=2.4615384615385*x       - we divide both sides of the equation by (2.4615384615385) to get x
75225/2.4615384615385=x
30560.15625=x
x=30560.15625

now we have:
40.625% of 75225=30560.15625