157.74 is what percent of 221 - 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 221 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 221, so we can write it down as 100%=221.
4. We know, that x% equals 157.74 of the output value, so we can write it down as x%=157.74.
5. Now we have two simple equations:
1) 100%=221
2) x%=157.74
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%=221/157.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.74 is what percent of 221

100%/x%=221/157.74
(100/x)*x=(221/157.74)*x       - we multiply both sides of the equation by x
100=1.4010396855585*x       - we divide both sides of the equation by (1.4010396855585) to get x
100/1.4010396855585=x
71.37556561086=x
x=71.37556561086

now we have:
157.74 is 71.37556561086% of 221