2.79 is what percent of 64.21 - 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 64.21 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 100% equals 64.21, so we can write it down as 100%=64.21.
4. We know, that x% equals 2.79 of the output value, so we can write it down as x%=2.79.
5. Now we have two simple equations:
1) 100%=64.21
2) x%=2.79
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:
100%/x%=64.21/2.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.79 is what percent of 64.21

100%/x%=64.21/2.79
(100/x)*x=(64.21/2.79)*x       - we multiply both sides of the equation by x
100=23.014336917563*x       - we divide both sides of the equation by (23.014336917563) to get x
100/23.014336917563=x
4.345117582931=x
x=4.345117582931

now we have:
2.79 is 4.345117582931% of 64.21