10.79 is what percent of 4.21 - 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 4.21 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 4.21, so we can write it down as 100%=4.21.
4. We know, that x% equals 10.79 of the output value, so we can write it down as x%=10.79.
5. Now we have two simple equations:
1) 100%=4.21
2) x%=10.79
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%=4.21/10.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.79 is what percent of 4.21

100%/x%=4.21/10.79
(100/x)*x=(4.21/10.79)*x       - we multiply both sides of the equation by x
100=0.39017608897127*x       - we divide both sides of the equation by (0.39017608897127) to get x
100/0.39017608897127=x
256.2945368171=x
x=256.2945368171

now we have:
10.79 is 256.2945368171% of 4.21