7.87 is what percent of 39.9 - 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 39.9 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 39.9, so we can write it down as 100%=39.9.
4. We know, that x% equals 7.87 of the output value, so we can write it down as x%=7.87.
5. Now we have two simple equations:
1) 100%=39.9
2) x%=7.87
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%=39.9/7.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.87 is what percent of 39.9

100%/x%=39.9/7.87
(100/x)*x=(39.9/7.87)*x       - we multiply both sides of the equation by x
100=5.0698856416773*x       - we divide both sides of the equation by (5.0698856416773) to get x
100/5.0698856416773=x
19.724310776942=x
x=19.724310776942

now we have:
7.87 is 19.724310776942% of 39.9