157.71 is what percent of 1804 - 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 1804 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 1804, so we can write it down as 100%=1804.
4. We know, that x% equals 157.71 of the output value, so we can write it down as x%=157.71.
5. Now we have two simple equations:
1) 100%=1804
2) x%=157.71
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%=1804/157.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.71 is what percent of 1804

100%/x%=1804/157.71
(100/x)*x=(1804/157.71)*x       - we multiply both sides of the equation by x
100=11.438716631793*x       - we divide both sides of the equation by (11.438716631793) to get x
100/11.438716631793=x
8.7422394678492=x
x=8.7422394678492

now we have:
157.71 is 8.7422394678492% of 1804