0.89 is what percent of 178.21 - 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 178.21 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 178.21, so we can write it down as 100%=178.21.
4. We know, that x% equals 0.89 of the output value, so we can write it down as x%=0.89.
5. Now we have two simple equations:
1) 100%=178.21
2) x%=0.89
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%=178.21/0.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.89 is what percent of 178.21

100%/x%=178.21/0.89
(100/x)*x=(178.21/0.89)*x       - we multiply both sides of the equation by x
100=200.23595505618*x       - we divide both sides of the equation by (200.23595505618) to get x
100/200.23595505618=x
0.49941080747433=x
x=0.49941080747433

now we have:
0.89 is 0.49941080747433% of 178.21