162.56 is what percent of 159.7 - 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 159.7 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 159.7, so we can write it down as 100%=159.7.
4. We know, that x% equals 162.56 of the output value, so we can write it down as x%=162.56.
5. Now we have two simple equations:
1) 100%=159.7
2) x%=162.56
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%=159.7/162.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.56 is what percent of 159.7

100%/x%=159.7/162.56
(100/x)*x=(159.7/162.56)*x       - we multiply both sides of the equation by x
100=0.98240649606299*x       - we divide both sides of the equation by (0.98240649606299) to get x
100/0.98240649606299=x
101.79085785848=x
x=101.79085785848

now we have:
162.56 is 101.79085785848% of 159.7