93.09 is what percent of 976.91 - 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 976.91 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 976.91, so we can write it down as 100%=976.91.
4. We know, that x% equals 93.09 of the output value, so we can write it down as x%=93.09.
5. Now we have two simple equations:
1) 100%=976.91
2) x%=93.09
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%=976.91/93.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.09 is what percent of 976.91

100%/x%=976.91/93.09
(100/x)*x=(976.91/93.09)*x       - we multiply both sides of the equation by x
100=10.494252873563*x       - we divide both sides of the equation by (10.494252873563) to get x
100/10.494252873563=x
9.5290251916758=x
x=9.5290251916758

now we have:
93.09 is 9.5290251916758% of 976.91