67.8 is what percent of 4.9 - 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 4.9 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 4.9, so we can write it down as 100%=4.9.
4. We know, that x% equals 67.8 of the output value, so we can write it down as x%=67.8.
5. Now we have two simple equations:
1) 100%=4.9
2) x%=67.8
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%=4.9/67.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.8 is what percent of 4.9

100%/x%=4.9/67.8
(100/x)*x=(4.9/67.8)*x       - we multiply both sides of the equation by x
100=0.072271386430678*x       - we divide both sides of the equation by (0.072271386430678) to get x
100/0.072271386430678=x
1383.6734693878=x
x=1383.6734693878

now we have:
67.8 is 1383.6734693878% of 4.9