10.06 is what percent of 167.64 - 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 167.64 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 167.64, so we can write it down as 100%=167.64.
4. We know, that x% equals 10.06 of the output value, so we can write it down as x%=10.06.
5. Now we have two simple equations:
1) 100%=167.64
2) x%=10.06
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%=167.64/10.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.06 is what percent of 167.64

100%/x%=167.64/10.06
(100/x)*x=(167.64/10.06)*x       - we multiply both sides of the equation by x
100=16.664015904573*x       - we divide both sides of the equation by (16.664015904573) to get x
100/16.664015904573=x
6.0009544261513=x
x=6.0009544261513

now we have:
10.06 is 6.0009544261513% of 167.64