162.7 is what percent of 167.14 - 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 167.14 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 167.14, so we can write it down as 100%=167.14.
4. We know, that x% equals 162.7 of the output value, so we can write it down as x%=162.7.
5. Now we have two simple equations:
1) 100%=167.14
2) x%=162.7
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%=167.14/162.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.7 is what percent of 167.14

100%/x%=167.14/162.7
(100/x)*x=(167.14/162.7)*x       - we multiply both sides of the equation by x
100=1.0272894898586*x       - we divide both sides of the equation by (1.0272894898586) to get x
100/1.0272894898586=x
97.343544334091=x
x=97.343544334091

now we have:
162.7 is 97.343544334091% of 167.14