4.9 is what percent of 3.42 - 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 3.42 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 3.42, so we can write it down as 100%=3.42.
4. We know, that x% equals 4.9 of the output value, so we can write it down as x%=4.9.
5. Now we have two simple equations:
1) 100%=3.42
2) x%=4.9
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%=3.42/4.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.9 is what percent of 3.42

100%/x%=3.42/4.9
(100/x)*x=(3.42/4.9)*x       - we multiply both sides of the equation by x
100=0.69795918367347*x       - we divide both sides of the equation by (0.69795918367347) to get x
100/0.69795918367347=x
143.27485380117=x
x=143.27485380117

now we have:
4.9 is 143.27485380117% of 3.42