84 is what percent of 142 - 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 142 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 142, so we can write it down as 100%=142.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=142
2) x%=84
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%=142/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 142

100%/x%=142/84
(100/x)*x=(142/84)*x       - we multiply both sides of the equation by x
100=1.6904761904762*x       - we divide both sides of the equation by (1.6904761904762) to get x
100/1.6904761904762=x
59.154929577465=x
x=59.154929577465

now we have:
84 is 59.154929577465% of 142