120.9 is what percent of 214.9 - 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 214.9 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 214.9, so we can write it down as 100%=214.9.
4. We know, that x% equals 120.9 of the output value, so we can write it down as x%=120.9.
5. Now we have two simple equations:
1) 100%=214.9
2) x%=120.9
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%=214.9/120.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.9 is what percent of 214.9

100%/x%=214.9/120.9
(100/x)*x=(214.9/120.9)*x       - we multiply both sides of the equation by x
100=1.7775020678246*x       - we divide both sides of the equation by (1.7775020678246) to get x
100/1.7775020678246=x
56.258724988367=x
x=56.258724988367

now we have:
120.9 is 56.258724988367% of 214.9