165.26 is what percent of 896.88 - 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 896.88 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 896.88, so we can write it down as 100%=896.88.
4. We know, that x% equals 165.26 of the output value, so we can write it down as x%=165.26.
5. Now we have two simple equations:
1) 100%=896.88
2) x%=165.26
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%=896.88/165.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.26 is what percent of 896.88

100%/x%=896.88/165.26
(100/x)*x=(896.88/165.26)*x       - we multiply both sides of the equation by x
100=5.4270845939731*x       - we divide both sides of the equation by (5.4270845939731) to get x
100/5.4270845939731=x
18.426099366693=x
x=18.426099366693

now we have:
165.26 is 18.426099366693% of 896.88