What is 42.874 percent of 221.76 - 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 221.76 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 221.76 is 100%, so we can write it down as 221.76=100%.
4. We know, that x is 42.874% of the output value, so we can write it down as x=42.874%.
5. Now we have two simple equations:
1) 221.76=100%
2) x=42.874%
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:
221.76/x=100%/42.874%
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 42.874% of 221.76

221.76/x=100/42.874
(221.76/x)*x=(100/42.874)*x       - we multiply both sides of the equation by x
221.76=2.3324159164062*x       - we divide both sides of the equation by (2.3324159164062) to get x
221.76/2.3324159164062=x
95.0773824=x
x=95.0773824

now we have:
42.874% of 221.76=95.0773824