4.2 is what percent of 51.3 - 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 51.3 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 51.3, so we can write it down as 100%=51.3.
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%=51.3
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%=51.3/4.2
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 51.3

100%/x%=51.3/4.2
(100/x)*x=(51.3/4.2)*x       - we multiply both sides of the equation by x
100=12.214285714286*x       - we divide both sides of the equation by (12.214285714286) to get x
100/12.214285714286=x
8.187134502924=x
x=8.187134502924

now we have:
4.2 is 8.187134502924% of 51.3