What is 7.87 percent of 5625 - 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 5625 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 5625 is 100%, so we can write it down as 5625=100%.
4. We know, that x is 7.87% of the output value, so we can write it down as x=7.87%.
5. Now we have two simple equations:
1) 5625=100%
2) x=7.87%
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:
5625/x=100%/7.87%
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 7.87% of 5625

5625/x=100/7.87
(5625/x)*x=(100/7.87)*x       - we multiply both sides of the equation by x
5625=12.706480304956*x       - we divide both sides of the equation by (12.706480304956) to get x
5625/12.706480304956=x
442.6875=x
x=442.6875

now we have:
7.87% of 5625=442.6875