14.2 is what percent of 151 - 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 151 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 151, so we can write it down as 100%=151.
4. We know, that x% equals 14.2 of the output value, so we can write it down as x%=14.2.
5. Now we have two simple equations:
1) 100%=151
2) x%=14.2
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%=151/14.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.2 is what percent of 151

100%/x%=151/14.2
(100/x)*x=(151/14.2)*x       - we multiply both sides of the equation by x
100=10.633802816901*x       - we divide both sides of the equation by (10.633802816901) to get x
100/10.633802816901=x
9.4039735099338=x
x=9.4039735099338

now we have:
14.2 is 9.4039735099338% of 151