14.05 is what percent of 157 - 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 157 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 157, so we can write it down as 100%=157.
4. We know, that x% equals 14.05 of the output value, so we can write it down as x%=14.05.
5. Now we have two simple equations:
1) 100%=157
2) x%=14.05
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%=157/14.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.05 is what percent of 157

100%/x%=157/14.05
(100/x)*x=(157/14.05)*x       - we multiply both sides of the equation by x
100=11.174377224199*x       - we divide both sides of the equation by (11.174377224199) to get x
100/11.174377224199=x
8.9490445859873=x
x=8.9490445859873

now we have:
14.05 is 8.9490445859873% of 157