162.5 is what percent of 912.34 - 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 912.34 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 912.34, so we can write it down as 100%=912.34.
4. We know, that x% equals 162.5 of the output value, so we can write it down as x%=162.5.
5. Now we have two simple equations:
1) 100%=912.34
2) x%=162.5
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%=912.34/162.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.5 is what percent of 912.34

100%/x%=912.34/162.5
(100/x)*x=(912.34/162.5)*x       - we multiply both sides of the equation by x
100=5.6144*x       - we divide both sides of the equation by (5.6144) to get x
100/5.6144=x
17.811342262753=x
x=17.811342262753

now we have:
162.5 is 17.811342262753% of 912.34