4.2 is what percent of 5.3 - 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 5.3 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 5.3, so we can write it down as 100%=5.3.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=5.3
2) x%=4.2
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%=5.3/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 5.3

100%/x%=5.3/4.2
(100/x)*x=(5.3/4.2)*x       - we multiply both sides of the equation by x
100=1.2619047619048*x       - we divide both sides of the equation by (1.2619047619048) to get x
100/1.2619047619048=x
79.245283018868=x
x=79.245283018868

now we have:
4.2 is 79.245283018868% of 5.3