5.42 is what percent of 92.468 - 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 92.468 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 92.468, so we can write it down as 100%=92.468.
4. We know, that x% equals 5.42 of the output value, so we can write it down as x%=5.42.
5. Now we have two simple equations:
1) 100%=92.468
2) x%=5.42
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%=92.468/5.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.42 is what percent of 92.468

100%/x%=92.468/5.42
(100/x)*x=(92.468/5.42)*x       - we multiply both sides of the equation by x
100=17.060516605166*x       - we divide both sides of the equation by (17.060516605166) to get x
100/17.060516605166=x
5.8614872171995=x
x=5.8614872171995

now we have:
5.42 is 5.8614872171995% of 92.468