0.27 is what percent of 823.97 - 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 823.97 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 823.97, so we can write it down as 100%=823.97.
4. We know, that x% equals 0.27 of the output value, so we can write it down as x%=0.27.
5. Now we have two simple equations:
1) 100%=823.97
2) x%=0.27
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%=823.97/0.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.27 is what percent of 823.97

100%/x%=823.97/0.27
(100/x)*x=(823.97/0.27)*x       - we multiply both sides of the equation by x
100=3051.7407407407*x       - we divide both sides of the equation by (3051.7407407407) to get x
100/3051.7407407407=x
0.032768183307645=x
x=0.032768183307645

now we have:
0.27 is 0.032768183307645% of 823.97