4.21 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 4.21 of the output value, so we can write it down as x%=4.21.
5. Now we have two simple equations:
1) 100%=4.9
2) x%=4.21
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%=4.9/4.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.21 is what percent of 4.9

100%/x%=4.9/4.21
(100/x)*x=(4.9/4.21)*x       - we multiply both sides of the equation by x
100=1.1638954869359*x       - we divide both sides of the equation by (1.1638954869359) to get x
100/1.1638954869359=x
85.918367346939=x
x=85.918367346939

now we have:
4.21 is 85.918367346939% of 4.9