67.35 is what percent of 78.903 - 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 78.903 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 78.903, so we can write it down as 100%=78.903.
4. We know, that x% equals 67.35 of the output value, so we can write it down as x%=67.35.
5. Now we have two simple equations:
1) 100%=78.903
2) x%=67.35
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%=78.903/67.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.35 is what percent of 78.903

100%/x%=78.903/67.35
(100/x)*x=(78.903/67.35)*x       - we multiply both sides of the equation by x
100=1.1715367483296*x       - we divide both sides of the equation by (1.1715367483296) to get x
100/1.1715367483296=x
85.357971179803=x
x=85.357971179803

now we have:
67.35 is 85.357971179803% of 78.903