93 is what percent of 101 - 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 101 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 101, so we can write it down as 100%=101.
4. We know, that x% equals 93 of the output value, so we can write it down as x%=93.
5. Now we have two simple equations:
1) 100%=101
2) x%=93
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%=101/93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93 is what percent of 101

100%/x%=101/93
(100/x)*x=(101/93)*x       - we multiply both sides of the equation by x
100=1.0860215053763*x       - we divide both sides of the equation by (1.0860215053763) to get x
100/1.0860215053763=x
92.079207920792=x
x=92.079207920792

now we have:
93 is 92.079207920792% of 101