87.84 is what percent of 165.45 - 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 165.45 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 165.45, so we can write it down as 100%=165.45.
4. We know, that x% equals 87.84 of the output value, so we can write it down as x%=87.84.
5. Now we have two simple equations:
1) 100%=165.45
2) x%=87.84
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%=165.45/87.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.84 is what percent of 165.45

100%/x%=165.45/87.84
(100/x)*x=(165.45/87.84)*x       - we multiply both sides of the equation by x
100=1.8835382513661*x       - we divide both sides of the equation by (1.8835382513661) to get x
100/1.8835382513661=x
53.091568449683=x
x=53.091568449683

now we have:
87.84 is 53.091568449683% of 165.45