7.93 is what percent of 157.16 - 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 157.16 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 157.16, so we can write it down as 100%=157.16.
4. We know, that x% equals 7.93 of the output value, so we can write it down as x%=7.93.
5. Now we have two simple equations:
1) 100%=157.16
2) x%=7.93
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%=157.16/7.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.93 is what percent of 157.16

100%/x%=157.16/7.93
(100/x)*x=(157.16/7.93)*x       - we multiply both sides of the equation by x
100=19.8184110971*x       - we divide both sides of the equation by (19.8184110971) to get x
100/19.8184110971=x
5.0458131840163=x
x=5.0458131840163

now we have:
7.93 is 5.0458131840163% of 157.16