4.2 is what percent of 767.86 - 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 767.86 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 767.86, so we can write it down as 100%=767.86.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=767.86
2) x%=4.2
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%=767.86/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 767.86

100%/x%=767.86/4.2
(100/x)*x=(767.86/4.2)*x       - we multiply both sides of the equation by x
100=182.82380952381*x       - we divide both sides of the equation by (182.82380952381) to get x
100/182.82380952381=x
0.54697470893132=x
x=0.54697470893132

now we have:
4.2 is 0.54697470893132% of 767.86