92 is what percent of 1907 - 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 1907 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 1907, so we can write it down as 100%=1907.
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%=1907
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%=1907/92
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 1907

100%/x%=1907/92
(100/x)*x=(1907/92)*x       - we multiply both sides of the equation by x
100=20.728260869565*x       - we divide both sides of the equation by (20.728260869565) to get x
100/20.728260869565=x
4.8243314105926=x
x=4.8243314105926

now we have:
92 is 4.8243314105926% of 1907