277.5 is what percent of 290 - 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 290 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 290, so we can write it down as 100%=290.
4. We know, that x% equals 277.5 of the output value, so we can write it down as x%=277.5.
5. Now we have two simple equations:
1) 100%=290
2) x%=277.5
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%=290/277.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 277.5 is what percent of 290

100%/x%=290/277.5
(100/x)*x=(290/277.5)*x       - we multiply both sides of the equation by x
100=1.045045045045*x       - we divide both sides of the equation by (1.045045045045) to get x
100/1.045045045045=x
95.689655172414=x
x=95.689655172414

now we have:
277.5 is 95.689655172414% of 290