167.48 is what percent of 1612.77 - 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 1612.77 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 1612.77, so we can write it down as 100%=1612.77.
4. We know, that x% equals 167.48 of the output value, so we can write it down as x%=167.48.
5. Now we have two simple equations:
1) 100%=1612.77
2) x%=167.48
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%=1612.77/167.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.48 is what percent of 1612.77

100%/x%=1612.77/167.48
(100/x)*x=(1612.77/167.48)*x       - we multiply both sides of the equation by x
100=9.6296274181992*x       - we divide both sides of the equation by (9.6296274181992) to get x
100/9.6296274181992=x
10.384617769428=x
x=10.384617769428

now we have:
167.48 is 10.384617769428% of 1612.77