165.38 is what percent of 10289.57 - 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 10289.57 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 10289.57, so we can write it down as 100%=10289.57.
4. We know, that x% equals 165.38 of the output value, so we can write it down as x%=165.38.
5. Now we have two simple equations:
1) 100%=10289.57
2) x%=165.38
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%=10289.57/165.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.38 is what percent of 10289.57

100%/x%=10289.57/165.38
(100/x)*x=(10289.57/165.38)*x       - we multiply both sides of the equation by x
100=62.217740960213*x       - we divide both sides of the equation by (62.217740960213) to get x
100/62.217740960213=x
1.6072586123618=x
x=1.6072586123618

now we have:
165.38 is 1.6072586123618% of 10289.57