92 is what percent of 1462 - 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 1462 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 1462, so we can write it down as 100%=1462.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=1462
2) x%=92
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%=1462/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 1462

100%/x%=1462/92
(100/x)*x=(1462/92)*x       - we multiply both sides of the equation by x
100=15.891304347826*x       - we divide both sides of the equation by (15.891304347826) to get x
100/15.891304347826=x
6.2927496580027=x
x=6.2927496580027

now we have:
92 is 6.2927496580027% of 1462