What is 0.53 percent of 0.42 - 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 0.42 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 0.42 is 100%, so we can write it down as 0.42=100%.
4. We know, that x is 0.53% of the output value, so we can write it down as x=0.53%.
5. Now we have two simple equations:
1) 0.42=100%
2) x=0.53%
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:
0.42/x=100%/0.53%
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 0.53% of 0.42

0.42/x=100/0.53
(0.42/x)*x=(100/0.53)*x       - we multiply both sides of the equation by x
0.42=188.67924528302*x       - we divide both sides of the equation by (188.67924528302) to get x
0.42/188.67924528302=x
0.002226=x
x=0.002226

now we have:
0.53% of 0.42=0.002226