7.6 is what percent of 210.8 - 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 210.8 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 210.8, so we can write it down as 100%=210.8.
4. We know, that x% equals 7.6 of the output value, so we can write it down as x%=7.6.
5. Now we have two simple equations:
1) 100%=210.8
2) x%=7.6
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%=210.8/7.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.6 is what percent of 210.8

100%/x%=210.8/7.6
(100/x)*x=(210.8/7.6)*x       - we multiply both sides of the equation by x
100=27.736842105263*x       - we divide both sides of the equation by (27.736842105263) to get x
100/27.736842105263=x
3.6053130929791=x
x=3.6053130929791

now we have:
7.6 is 3.6053130929791% of 210.8