31.77 is what percent of 349.99 - 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 349.99 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 349.99, so we can write it down as 100%=349.99.
4. We know, that x% equals 31.77 of the output value, so we can write it down as x%=31.77.
5. Now we have two simple equations:
1) 100%=349.99
2) x%=31.77
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%=349.99/31.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.77 is what percent of 349.99

100%/x%=349.99/31.77
(100/x)*x=(349.99/31.77)*x       - we multiply both sides of the equation by x
100=11.01636764243*x       - we divide both sides of the equation by (11.01636764243) to get x
100/11.01636764243=x
9.0774022114918=x
x=9.0774022114918

now we have:
31.77 is 9.0774022114918% of 349.99