167.69 is what percent of 1.501 - 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 1.501 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 1.501, so we can write it down as 100%=1.501.
4. We know, that x% equals 167.69 of the output value, so we can write it down as x%=167.69.
5. Now we have two simple equations:
1) 100%=1.501
2) x%=167.69
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%=1.501/167.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.69 is what percent of 1.501

100%/x%=1.501/167.69
(100/x)*x=(1.501/167.69)*x       - we multiply both sides of the equation by x
100=0.0089510406106506*x       - we divide both sides of the equation by (0.0089510406106506) to get x
100/0.0089510406106506=x
11171.885409727=x
x=11171.885409727

now we have:
167.69 is 11171.885409727% of 1.501