"our mutual understanding" is correct and perfectly usable in written English.
It is usually used to refer to the shared understanding between two or more people. Example sentence: "We reached an agreement through our mutual understanding."
"I won't hide the fact that we are concerned by the tendency toward a narrowing of our mutual understanding within Euro-Atlantic politics," Mr. Medvedev said after meeting with Chancellor Angela Merkel.
And while our mutual understanding unites us across cultural and linguistic divides, it divides us from others who share our culture and language but not our rice-given understandings.
By doing that, you may one day discover American partners who would help you build an Islamic cultural center and mosque in the city - and that building would stand as a true monument to our mutual understanding, and mutual healing.
This has truly been life-changing for me and I honestly believe my marriage is 100% better because of our mutual understanding of what the other needs in terms of expressing love.
We propose that academic researchers must use community residents not just as subjects of our studies, but to increase our mutual understanding of environmental health, resulting in active participation of community members in research design, data collection, analysis, and dissemination of results in order to make intervention strategies more effective.
When we compared our findings with what is already known from the two research areas, nursing science and medicine, we found that spelling holistic with 'wh' instead of 'h' corresponded better to our participants' mutual understanding of the concept.
That would be a shame because such programs support our national security and strengthen our economy by increasing mutual understanding among peoples.
We call upon our elected officials and the American people to join us in bridging our divides, striving toward mutual understanding and respect, and protecting the rights and equality of all.
"Our friendly relationship of mutual understanding with the United States will go on," Mr. Gul said.
Law said, "We want to have connects with different activists in the region, to facilitate our mutual support and mutual understanding".
This mutual understanding made our relationship much easier.
