157.31 is what percent of 1663.13 - 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 1663.13 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 1663.13, so we can write it down as 100%=1663.13.
4. We know, that x% equals 157.31 of the output value, so we can write it down as x%=157.31.
5. Now we have two simple equations:
1) 100%=1663.13
2) x%=157.31
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%=1663.13/157.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.31 is what percent of 1663.13

100%/x%=1663.13/157.31
(100/x)*x=(1663.13/157.31)*x       - we multiply both sides of the equation by x
100=10.572309452673*x       - we divide both sides of the equation by (10.572309452673) to get x
100/10.572309452673=x
9.4586713004997=x
x=9.4586713004997

now we have:
157.31 is 9.4586713004997% of 1663.13