42 is what percent of 53486 - 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 53486 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 53486, so we can write it down as 100%=53486.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=53486
2) x%=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%=53486/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 53486

100%/x%=53486/42
(100/x)*x=(53486/42)*x       - we multiply both sides of the equation by x
100=1273.4761904762*x       - we divide both sides of the equation by (1273.4761904762) to get x
100/1273.4761904762=x
0.078525221553304=x
x=0.078525221553304

now we have:
42 is 0.078525221553304% of 53486