What is 5.625 percent of 51.67 - 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 51.67 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 51.67 is 100%, so we can write it down as 51.67=100%.
4. We know, that x is 5.625% of the output value, so we can write it down as x=5.625%.
5. Now we have two simple equations:
1) 51.67=100%
2) x=5.625%
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:
51.67/x=100%/5.625%
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 5.625% of 51.67

51.67/x=100/5.625
(51.67/x)*x=(100/5.625)*x       - we multiply both sides of the equation by x
51.67=17.777777777778*x       - we divide both sides of the equation by (17.777777777778) to get x
51.67/17.777777777778=x
2.9064375=x
x=2.9064375

now we have:
5.625% of 51.67=2.9064375