18.7 is what percent of 140.7 - 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 140.7 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 140.7, so we can write it down as 100%=140.7.
4. We know, that x% equals 18.7 of the output value, so we can write it down as x%=18.7.
5. Now we have two simple equations:
1) 100%=140.7
2) x%=18.7
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%=140.7/18.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.7 is what percent of 140.7

100%/x%=140.7/18.7
(100/x)*x=(140.7/18.7)*x       - we multiply both sides of the equation by x
100=7.524064171123*x       - we divide both sides of the equation by (7.524064171123) to get x
100/7.524064171123=x
13.290689410092=x
x=13.290689410092

now we have:
18.7 is 13.290689410092% of 140.7