92 is what percent of 4700 - 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 4700 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 4700, so we can write it down as 100%=4700.
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%=4700
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%=4700/92
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 4700

100%/x%=4700/92
(100/x)*x=(4700/92)*x       - we multiply both sides of the equation by x
100=51.086956521739*x       - we divide both sides of the equation by (51.086956521739) to get x
100/51.086956521739=x
1.9574468085106=x
x=1.9574468085106

now we have:
92 is 1.9574468085106% of 4700