92 is what percent of 979 - 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 979 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 979, so we can write it down as 100%=979.
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%=979
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%=979/92
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 979

100%/x%=979/92
(100/x)*x=(979/92)*x       - we multiply both sides of the equation by x
100=10.641304347826*x       - we divide both sides of the equation by (10.641304347826) to get x
100/10.641304347826=x
9.3973442288049=x
x=9.3973442288049

now we have:
92 is 9.3973442288049% of 979