What is 21.42 percent of 277.14 - 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 277.14 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 277.14 is 100%, so we can write it down as 277.14=100%.
4. We know, that x is 21.42% of the output value, so we can write it down as x=21.42%.
5. Now we have two simple equations:
1) 277.14=100%
2) x=21.42%
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:
277.14/x=100%/21.42%
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 21.42% of 277.14

277.14/x=100/21.42
(277.14/x)*x=(100/21.42)*x       - we multiply both sides of the equation by x
277.14=4.6685340802988*x       - we divide both sides of the equation by (4.6685340802988) to get x
277.14/4.6685340802988=x
59.363388=x
x=59.363388

now we have:
21.42% of 277.14=59.363388