157.72 is what percent of 202 - 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 202 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 202, so we can write it down as 100%=202.
4. We know, that x% equals 157.72 of the output value, so we can write it down as x%=157.72.
5. Now we have two simple equations:
1) 100%=202
2) x%=157.72
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%=202/157.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.72 is what percent of 202

100%/x%=202/157.72
(100/x)*x=(202/157.72)*x       - we multiply both sides of the equation by x
100=1.2807506974385*x       - we divide both sides of the equation by (1.2807506974385) to get x
100/1.2807506974385=x
78.079207920792=x
x=78.079207920792

now we have:
157.72 is 78.079207920792% of 202